The historical corpus
The Register
All 116 numbered dossiers from Woeginger’s frozen 2016 page. Choose a static view, then open a dossier for its source note, links, and status.
By dossier number
| Dossier | Claim or work | Author(s) | Year recorded | Direction | Status |
|---|---|---|---|---|---|
| 001 | P=NP | Ted Swart | 1986/87 | P = NP | Adjudicated |
| 002 | Polynomial-Time Partition of a Graph into Cliques | Anatoly Plotnikov | 1996 | P = NP | Unadjudicated |
| 003 | An algorithm with polynomial time complexity for finding clique in a graph; HEWN: A polynomial algorithm for CLIQUE problem | Tang Pushan, Huang Zhijun | Around 1997; 1998 | P = NP | Adjudicated |
| 004 | Positionality principle for notation and calculation the functions (Volume One) | Miron Telpiz | the second half of the year 2000 | P = NP | Unadjudicated |
| 005 | Redundancy, Obscurity, Self-Containment & Independence | Seenil Gram | November 13-16, 2001 | P ≠ NP | Unadjudicated |
| 006 | A polynomial time (heuristic) SAT algorithm | Charles Sauerbier | May 2002 | P = NP | Adjudicated |
| 007 | Solution of the Linear Ordering Problem (NP=P); A polynomial algorithm for a problem of linear orders | Givi Bolotashvili | March 2003; 1990 | P = NP | Unadjudicated |
| 008 | Nicholas Argall proved on 25 March 2003 that P=NP is undecidable. | Nicholas Argall | 25 March 2003 | Other | Unadjudicated |
| 009 | Consequences of an exotic definition for P=NP | N.C.A. da Costa, F.A. Doria | 2003 | Other | Adjudicated |
| 010 | Hubert Chen has a webpage (2003) with a really short argument that "P-not-equal-to-NP": | Hubert Chen | 2003 | P ≠ NP | Unadjudicated |
| 011 | Evidence that P is not equal to NP; P is not equal to NP | Craig Alan Feinstein | 2003/04 | Other | Adjudicated |
| 012 | Linear Algebra, Lie Algebra and their applications to P versus NP | Ki-Bong Nam, S.H. Wang, Yang Gon Kim | 2004 | P ≠ NP | Unadjudicated |
| 013 | P versus NP problem solution | Mikhail N. Kupchik | spring 2004 | P ≠ NP | Unadjudicated |
| 014 | P=NP | Selmer Bringsjord, Joshua Taylor | June 2004 | P = NP | Unadjudicated |
| 015 | Some consequences of defining mathematical objects constructively and mathematical truth effectively; A density-based approach for non-heuristic approximations of prime counting functions | Bhupinder Singh Anand | 2004; 2015 | P ≠ NP | Unadjudicated |
| 016 | P is not NP | Marius Ionescu | September 2004 | P ≠ NP | Unadjudicated |
| 017 | P=NP: Linear Programming Formulation of the Traveling Salesman Problem; linear programming formulation of the QAP (quadratic assignment problem); Linear programming formulation of the vertex colouring problem; Linear programming formulation of the set partitioning problem; Advances in Combinatorial Optimization | Moustapha Diaby, Mark H Karwan | October 2004; October 2005; 2010; April 2016 | P = NP | Unadjudicated |
| 018 | Mircea Alexandru Popescu Moscu introduced an invariance principle of complexity hierarchies. | Mircea Alexandru Popescu Moscu | November 2004 | P ≠ NP | Unadjudicated |
| 019 | A Polynomial-time Exact Algorithm for the Subset Sum Problem | Andrea Bianchini | January 2005 | P = NP | Unadjudicated |
| 020 | Raju Renjit Grover proved that P is not equal to NP, and also that P is not equal to co-NP. | Raju Renjit Grover | February 2005 | P ≠ NP | Unadjudicated |
| 021 | Dr. Viktor V. Ivanov proved that P is not equal to NP. | Dr. Viktor V. Ivanov | March 2005; 2014 | P ≠ NP | Unadjudicated |
| 022 | Is the Halting problem effectively solvable non-algorithmically, and is the Goedel sentence in NP, but not in P? | Bhupinder Singh Anand | June 2005 | P ≠ NP | Unadjudicated |
| 023 | Complexity Theory for Simpletons; Complexity science for simpletons | Craig Alan Feinstein | July 2005; July 2006 | P ≠ NP | Unadjudicated |
| 024 | Proof-sketch: Why NP is not P | Lev Gordeev | Summer 2005 | P ≠ NP | Unadjudicated |
| 025 | Two Dimensional Formulas and Tautology Checking | Lokman Kolukisa | October 2005 | P = NP | Unadjudicated |
| 026 | A polynomial-time algorithm for Circuit-SAT; A polynomial-time heuristic for Circuit-SAT | Francesco Capasso | November 2005 | P = NP | Adjudicated |
| 027 | Proving that P is not equal to NP and that P is not equal to the intersection of NP and co-NP | Ron Cohen | November 2005 | P ≠ NP | Unadjudicated |
| 028 | Sigma-notation and the equivalence of P and NP classes | Miron Teplitz | December 2005 | P = NP | Unadjudicated |
| 029 | His main contribution is a linear programming formulation of the TSP with O(n^5) variables and O(n^4) constraints. | Dr. Joachim Mertz | 2005 | P = NP | Unadjudicated |
| 030 | P =/= NP | Bhupinder Singh Anand | March 2006 | P ≠ NP | Unadjudicated |
| 031 | A New and Elegant Argument that P is not NP | Craig Alan Feinstein | July 2006 | P ≠ NP | Unadjudicated |
| 032 | Mohamed Mimouni proved P=NP by constructing a polynomial time algorithm for the clique problem. | Mohamed Mimouni | August 2006 | P = NP | Unadjudicated |
| 033 | A Polynomial Time Algorithm for The Traveling Salesman Problem | Sergey Gubin | October 2006 | P = NP | Adjudicated |
| 034 | Complexity Considerations, cSAT Lower Bound | Radoslaw Hofman | 2006 | P ≠ NP | Unadjudicated |
| 035 | co-NP Is Equal To NP | Raju Renjit | November 2006 | Other | Unadjudicated |
| 036 | Using Disentangled States and Algorithmic Information Theory to Solve the P Versus NP Problem | Rubens Ramos Viana | November 2006 | P ≠ NP | Unadjudicated |
| 037 | The Asymmetric Traveling Salesman Problem | Howard Kleiman | December 2006 | P = NP | Unadjudicated |
| 038 | Finding Hamiltonian cycle in polynomial time | Khadija Riaz, Malik Sikander Hayat Khiyal | 2006 | P = NP | Unadjudicated |
| 039 | Experimental Algorithm for the Maximum Independent Set Problem | Anatoly D. Plotnikov | June 2007 | P = NP | Unadjudicated |
| 040 | The Complexity of HCP in Digraps with Degree Bound Two | Guohun Zhu | summer 2007 | P = NP | Unadjudicated |
| 041 | Graph Isomorphism is PSPACE-complete; A Polynomial Time Algorithm for Graph Isomorphism | Matthew Delacorte, Reiner Czerwinski | August 2007; November 2007 | P = NP | Unadjudicated |
| 042 | The Proof of P=NP | Cynthia Ann Harlan Krieger, Lee K. Jones | March 2008 | P = NP | Unadjudicated |
| 043 | P is a proper subset of NP | Jerrald Meek | April 2008 | P ≠ NP | Unadjudicated |
| 044 | A trivial solution to the PvNP problem | Bhupinder Singh Anand | June 2008 | P ≠ NP | Unadjudicated |
| 045 | The Kleene-Rosser Paradox, The Liar's Paradox & A Fuzzy Logic Programming Paradox Imply SAT is (NOT) NP-complete | Rafee Ebrahim Kamouna | June 2008 | P = NP | Unadjudicated |
| 046 | Analysis of the postulates produced by Karp's Theorem | Jerrald Meek | August 2008 | P ≠ NP | Unadjudicated |
| 047 | On the existence of polynomial-time algorithms to the subset sum problem | Jorma Jormakka | September 2008 | P ≠ NP | Unadjudicated |
| 048 | P is not equal to NP | Sten-Ake Tarnlund | October 2008; September 2013 | P ≠ NP | Unadjudicated |
| 049 | A Deterministic Polynomial-time Algorithm for the Clique Problem and the Equality of P and NP Complexity Classes; A polynomial-time algorithm for the maximum clique problem | Zohreh O. Akbari | November 2008; 2013 | P = NP | Unadjudicated |
| 050 | The Collapse of the Polynomial Hierarchy: NP=P | Javaid Aslam | December 2008 | P = NP | Adjudicated |
| 051 | P=NP; M�todo de soluci�n para sistemas de ecuaciones simult�neas sobre un Campo de Galois y aplicaciones en Inteligencia Artificial | Rafael Valls Hidalgo-Gato | March 2009; October 1985 | P = NP | Unadjudicated |
| 052 | On the 1st of April 2009, Doron Zeilberger proved that P is equal to NP. | Doron Zeilberger | 1st of April 2009 | P = NP | Adjudicated |
| 053 | A Polynomial Time Algorithm for the Hamilton Circuit Problem | Xinwen Jiang | April 2009; 2007; 2010; 2011; May 2013 | P = NP | Unadjudicated |
| 054 | Physical portrayal of computational complexity | Arto Annila | June 2009 | P ≠ NP | Unadjudicated |
| 055 | P != NP Proof | Andre Luiz Barbosa | July 2009 | P ≠ NP | Unadjudicated |
| 056 | R�solution du partition problem par une approche arithm�tique | Yann Dujardin | September 2009 | P = NP | Unadjudicated |
| 057 | Method of resolution of 3SAT in polynomial time | Luigi Salemi | September 2009 | P = NP | Unadjudicated |
| 058 | A Possible New Approach to Resolving Open Problems in Computer Science | Ari Blinder | December 2009 | P ≠ NP | Adjudicated |
| 059 | Computationally Difficult Problems: Some Investigations | Narendra S. Chaudhari | 2009 | P = NP | Unadjudicated |
| 060 | A Polynomial Time Algorithm for Hamilton Cycle and Its Proof | Lizhi Du | April 2010 | P = NP | Unadjudicated |
| 061 | A Proof for P vs. NP Problem | Changlin Wan | May 2010 | P = NP | Unadjudicated |
| 062 | The Complexity Of The NP-Class | Carlos Barron-Romero | June 2010 | P ≠ NP | Unadjudicated |
| 063 | Mirrored Language Structure and Innate Logic of the Human Brain as a Computable Model of the Oracle Turing Machine; Knowledge Recognition Algorithm enables P = NP | Han Xiao Wen | June 2010; September 2010 | P = NP | Unadjudicated |
| 064 | Polynomial complexity algorithm for Max-Cut problem | Mikhail Katkov | July 2010 | P = NP | Unadjudicated |
| 065 | P!=NP | Vinay Deolalikar | the beginning of August 2010 | P ≠ NP | Unadjudicated |
| 066 | Complementary to Yannakakis' theorem | Sergey Gubin | August 2010 | P = NP | Adjudicated |
| 067 | Non-Orthodox Combinatorial Models Based on Discordant Structures | Vladimir Romanov | November 2010 | P = NP | Unadjudicated |
| 068 | A Solution to the P versus NP Problem | Frank Vega Delgado | November 2010 | P ≠ NP | Unadjudicated |
| 069 | The Complexity of Euclidian 2 Dimension Travelling Salesman Problem versus General Assign Problem, NP is not P | Carlos Barron-Romero | December 2010 | P ≠ NP | Unadjudicated |
| 070 | THE ANSWER TO THE P/NP PROBLEM IS P≠NP! | Bangyan Wen, Yi Lin | December 2010 | P ≠ NP | Unadjudicated |
| 071 | The Complexity of 3SAT_N and the P versus NP Problem | Ruijia Liao | January 2011 | P ≠ NP | Unadjudicated |
| 072 | Computational Complexity on Signed Numbers | Stefan Jaeger | April 2011 | Other | Unadjudicated |
| 073 | The 3-satisfiability problem | Amar Mukherjee | April 2011 | P = NP | Unadjudicated |
| 074 | A Polynomial Algorithm for 3-sat | Angela Weiss | spring 2011 | P = NP | Unadjudicated |
| 075 | Towards P = NP via k-SAT: A k-SAT Algorithm Using Linear Algebra on Finite Fields | Matt Groff | June 2011 | P = NP | Unadjudicated |
| 076 | Algorithmic complexity of pair cleaning method for k-satisfiability problem | Sergey Kardash | July 2011 | P = NP | Unadjudicated |
| 077 | On the relationship between classes P and NP; About set-theoretic properties of one-way functions; On the structure of the class NP | Anatoly Plotnikov | September/October 2011 | P ≠ NP | Unadjudicated |
| 078 | NP is not AL and P is not NC is not NL is not L | Koji Kobayashi | October 2011 | P ≠ NP | Unadjudicated |
| 079 | Algorithm that Solves 3-SAT in Polynomial Time | Jason W. Steinmetz | October 2011 | P = NP | Unadjudicated |
| 080 | Is it possible to find the maximum clique in general graphs? | Jose Ignacio Alvarez-Hamelin | October 2011 | P = NP | Unadjudicated |
| 081 | Construction of an NP Problem with an Exponential Lower Bound | Roman Yampolskiy | November 2011 | P ≠ NP | Unadjudicated |
| 082 | The Computational Complexity of the Traveling Salesman Problem | Craig Alan Feinstein | November 2011 | P ≠ NP | Unadjudicated |
| 083 | Just How Random Are Your Answers? | Jeffrey W. Holcomb | fall 2011 | P ≠ NP | Unadjudicated |
| 084 | As Velocity Approaches Light Speed, P Becomes Equivalent to NP for Computations Using Zero-Mass Particles | Douglas Youvan | January 2012 | P = NP | Unadjudicated |
| 085 | P vs NP | Gilberto Rodrigo Diduch | January 2012 | P ≠ NP | Unadjudicated |
| 086 | Topological approach to solve P versus NP | Koji Kobayashi | February 2012 | P ≠ NP | Unadjudicated |
| 087 | The existence of one-way functions; P versus UP | Frank Vega Delgado | February 2012 | P ≠ NP | Adjudicated |
| 088 | Inconsistency of the Zermelo-Fraenkel set theory with the axiom of choice and its effects on the computational complexity | Minseong Kim | March 2012 | P ≠ NP | Unadjudicated |
| 089 | How to solve kSAT in polynomial time | Algirdas Antano Maknickas | March 2011 | P = NP | Unadjudicated |
| 090 | From classical versus quantum algorithms to P versus NP | Michel Feldmann | May 2012 | P = NP | Unadjudicated |
| 091 | Computing Cliques is Intractable | Junichiro Fukuyama | summer 2012; May 2013 | P ≠ NP | Unadjudicated |
| 092 | Integer factorization and Discrete Logarithm problem are neither in P nor NP-complete; Relationship between circuit complexity and symmetry | Satoshi Tazawa | July 2012 | P ≠ NP | Unadjudicated |
| 093 | A Constructive Algorithm to Prove P=NP | Wen-Qi Duan | July 2012 | P = NP | Unadjudicated |
| 094 | The proof is constructive, and explicitly gives a polynomial time deterministic algorithm that determines whether there exists a polynomial-length accepting computational path for a given non-deterministic single-tape Turing machine. | Sergey V. Yakhontov | September 2012 | P = NP | Unadjudicated |
| 095 | On the principal impossibility to prove P=NP | Natalia L. Malinina | November 2012 | Other | Unadjudicated |
| 096 | Polynomial Exact-3-SAT Solving Algorithm; Polynomial SAT-Solver - Algorithm Explanation | Louis Coder | December 2012; December 2013 | P = NP | Unadjudicated |
| 097 | A DP Approach to Hamiltonian Path Problem | Dmitriy Nuriyev | January 2013 | P = NP | Unadjudicated |
| 098 | Linear Programming Formulation of Boolean Satisfiability Problem | Algirdas Antano Maknickas | March 2013 | P = NP | Unadjudicated |
| 099 | The Lower Border of Complexity of Algorithm of the Elementary NP-Complete Task (The Most Condensed Version) | Rustem Chingizovich Valeyev | August 2013 | P ≠ NP | Unadjudicated |
| 100 | Solving 3-SAT and 3-dimensional matching in polynomial time | Frederic Gillet | October 2013 | P = NP | Adjudicated |
| 101 | A Algorithm for the Hamilton Circuit Problem | Hanlin Liu | January 2014 | P = NP | Unadjudicated |
| 102 | A Polynomial Time Solution to the Clique Problem | Pawan Tamta, B.P. Pande, H.S. Dhami | February 2014 | P = NP | Adjudicated |
| 103 | Approximation Resistance by Disguising Biased Distributions | Peng Cui | February 2014 | P = NP | Unadjudicated |
| 104 | The P versus NP Problem in Quantum Physics | Daegene Song | February 2014 | P ≠ NP | Unadjudicated |
| 105 | P not equal NP by modus tollens | Joonmo Kim | March 2014 | P ≠ NP | Adjudicated |
| 106 | Polynomial solvability of NP-complete problems | Anatoly Panyukov | September 2014 | P = NP | Unadjudicated |
| 107 | A Polynomial Time Algorithm For Solving Clique Problems | Michael LaPlante | March 2015 | P = NP | Adjudicated |
| 108 | Understanding SAT is in P | Alejandro Sanchez Guinea | April 2015 | P = NP | Unadjudicated |
| 109 | Solution of P versus NP Problem | Frank Vega | June 2015 | P = NP | Unadjudicated |
| 110 | Testing a new idea to solve the P = NP problem with mathematical induction | Yubin Huang | October 2015 | P = NP | Unadjudicated |
| 111 | P vs. NP; Is P equal to NP? | Daniel Uribe, Frank Vega | January 2016; February 2016 | P ≠ NP | Unadjudicated |
| 112 | On Alternation and the Union Theorem | Mathias Hauptmann | February 2016 | P ≠ NP | Unadjudicated |
| 113 | Philosophical Solution to P=?NP: P is Equal to NP | Steven Meyer | March 2016 | P = NP | Unadjudicated |
| 114 | The Tau One-Way Functions Class: P != NP | Javier A. Arroyo-Figueroa | April 2016 | P ≠ NP | Unadjudicated |
| 115 | An Attempt to Demonstrate P=NP | Eli Halylaurin | summer 2016 | P = NP | Unadjudicated |
| 116 | On the Existence of Weak One-Way Functions | Stefan Rass | September 2016 | P ≠ NP | Unadjudicated |
By first recorded year
| Dossier | Claim or work | Author(s) | Year recorded | Direction | Status |
|---|---|---|---|---|---|
| 001 | P=NP | Ted Swart | 1986/87 | P = NP | Adjudicated |
| 002 | Polynomial-Time Partition of a Graph into Cliques | Anatoly Plotnikov | 1996 | P = NP | Unadjudicated |
| 003 | An algorithm with polynomial time complexity for finding clique in a graph; HEWN: A polynomial algorithm for CLIQUE problem | Tang Pushan, Huang Zhijun | Around 1997; 1998 | P = NP | Adjudicated |
| 004 | Positionality principle for notation and calculation the functions (Volume One) | Miron Telpiz | the second half of the year 2000 | P = NP | Unadjudicated |
| 005 | Redundancy, Obscurity, Self-Containment & Independence | Seenil Gram | November 13-16, 2001 | P ≠ NP | Unadjudicated |
| 006 | A polynomial time (heuristic) SAT algorithm | Charles Sauerbier | May 2002 | P = NP | Adjudicated |
| 007 | Solution of the Linear Ordering Problem (NP=P); A polynomial algorithm for a problem of linear orders | Givi Bolotashvili | March 2003; 1990 | P = NP | Unadjudicated |
| 008 | Nicholas Argall proved on 25 March 2003 that P=NP is undecidable. | Nicholas Argall | 25 March 2003 | Other | Unadjudicated |
| 009 | Consequences of an exotic definition for P=NP | N.C.A. da Costa, F.A. Doria | 2003 | Other | Adjudicated |
| 010 | Hubert Chen has a webpage (2003) with a really short argument that "P-not-equal-to-NP": | Hubert Chen | 2003 | P ≠ NP | Unadjudicated |
| 011 | Evidence that P is not equal to NP; P is not equal to NP | Craig Alan Feinstein | 2003/04 | Other | Adjudicated |
| 012 | Linear Algebra, Lie Algebra and their applications to P versus NP | Ki-Bong Nam, S.H. Wang, Yang Gon Kim | 2004 | P ≠ NP | Unadjudicated |
| 013 | P versus NP problem solution | Mikhail N. Kupchik | spring 2004 | P ≠ NP | Unadjudicated |
| 014 | P=NP | Selmer Bringsjord, Joshua Taylor | June 2004 | P = NP | Unadjudicated |
| 015 | Some consequences of defining mathematical objects constructively and mathematical truth effectively; A density-based approach for non-heuristic approximations of prime counting functions | Bhupinder Singh Anand | 2004; 2015 | P ≠ NP | Unadjudicated |
| 016 | P is not NP | Marius Ionescu | September 2004 | P ≠ NP | Unadjudicated |
| 017 | P=NP: Linear Programming Formulation of the Traveling Salesman Problem; linear programming formulation of the QAP (quadratic assignment problem); Linear programming formulation of the vertex colouring problem; Linear programming formulation of the set partitioning problem; Advances in Combinatorial Optimization | Moustapha Diaby, Mark H Karwan | October 2004; October 2005; 2010; April 2016 | P = NP | Unadjudicated |
| 018 | Mircea Alexandru Popescu Moscu introduced an invariance principle of complexity hierarchies. | Mircea Alexandru Popescu Moscu | November 2004 | P ≠ NP | Unadjudicated |
| 019 | A Polynomial-time Exact Algorithm for the Subset Sum Problem | Andrea Bianchini | January 2005 | P = NP | Unadjudicated |
| 020 | Raju Renjit Grover proved that P is not equal to NP, and also that P is not equal to co-NP. | Raju Renjit Grover | February 2005 | P ≠ NP | Unadjudicated |
| 021 | Dr. Viktor V. Ivanov proved that P is not equal to NP. | Dr. Viktor V. Ivanov | March 2005; 2014 | P ≠ NP | Unadjudicated |
| 022 | Is the Halting problem effectively solvable non-algorithmically, and is the Goedel sentence in NP, but not in P? | Bhupinder Singh Anand | June 2005 | P ≠ NP | Unadjudicated |
| 023 | Complexity Theory for Simpletons; Complexity science for simpletons | Craig Alan Feinstein | July 2005; July 2006 | P ≠ NP | Unadjudicated |
| 024 | Proof-sketch: Why NP is not P | Lev Gordeev | Summer 2005 | P ≠ NP | Unadjudicated |
| 025 | Two Dimensional Formulas and Tautology Checking | Lokman Kolukisa | October 2005 | P = NP | Unadjudicated |
| 026 | A polynomial-time algorithm for Circuit-SAT; A polynomial-time heuristic for Circuit-SAT | Francesco Capasso | November 2005 | P = NP | Adjudicated |
| 027 | Proving that P is not equal to NP and that P is not equal to the intersection of NP and co-NP | Ron Cohen | November 2005 | P ≠ NP | Unadjudicated |
| 028 | Sigma-notation and the equivalence of P and NP classes | Miron Teplitz | December 2005 | P = NP | Unadjudicated |
| 029 | His main contribution is a linear programming formulation of the TSP with O(n^5) variables and O(n^4) constraints. | Dr. Joachim Mertz | 2005 | P = NP | Unadjudicated |
| 030 | P =/= NP | Bhupinder Singh Anand | March 2006 | P ≠ NP | Unadjudicated |
| 031 | A New and Elegant Argument that P is not NP | Craig Alan Feinstein | July 2006 | P ≠ NP | Unadjudicated |
| 032 | Mohamed Mimouni proved P=NP by constructing a polynomial time algorithm for the clique problem. | Mohamed Mimouni | August 2006 | P = NP | Unadjudicated |
| 033 | A Polynomial Time Algorithm for The Traveling Salesman Problem | Sergey Gubin | October 2006 | P = NP | Adjudicated |
| 034 | Complexity Considerations, cSAT Lower Bound | Radoslaw Hofman | 2006 | P ≠ NP | Unadjudicated |
| 035 | co-NP Is Equal To NP | Raju Renjit | November 2006 | Other | Unadjudicated |
| 036 | Using Disentangled States and Algorithmic Information Theory to Solve the P Versus NP Problem | Rubens Ramos Viana | November 2006 | P ≠ NP | Unadjudicated |
| 037 | The Asymmetric Traveling Salesman Problem | Howard Kleiman | December 2006 | P = NP | Unadjudicated |
| 038 | Finding Hamiltonian cycle in polynomial time | Khadija Riaz, Malik Sikander Hayat Khiyal | 2006 | P = NP | Unadjudicated |
| 039 | Experimental Algorithm for the Maximum Independent Set Problem | Anatoly D. Plotnikov | June 2007 | P = NP | Unadjudicated |
| 040 | The Complexity of HCP in Digraps with Degree Bound Two | Guohun Zhu | summer 2007 | P = NP | Unadjudicated |
| 041 | Graph Isomorphism is PSPACE-complete; A Polynomial Time Algorithm for Graph Isomorphism | Matthew Delacorte, Reiner Czerwinski | August 2007; November 2007 | P = NP | Unadjudicated |
| 042 | The Proof of P=NP | Cynthia Ann Harlan Krieger, Lee K. Jones | March 2008 | P = NP | Unadjudicated |
| 043 | P is a proper subset of NP | Jerrald Meek | April 2008 | P ≠ NP | Unadjudicated |
| 044 | A trivial solution to the PvNP problem | Bhupinder Singh Anand | June 2008 | P ≠ NP | Unadjudicated |
| 045 | The Kleene-Rosser Paradox, The Liar's Paradox & A Fuzzy Logic Programming Paradox Imply SAT is (NOT) NP-complete | Rafee Ebrahim Kamouna | June 2008 | P = NP | Unadjudicated |
| 046 | Analysis of the postulates produced by Karp's Theorem | Jerrald Meek | August 2008 | P ≠ NP | Unadjudicated |
| 047 | On the existence of polynomial-time algorithms to the subset sum problem | Jorma Jormakka | September 2008 | P ≠ NP | Unadjudicated |
| 048 | P is not equal to NP | Sten-Ake Tarnlund | October 2008; September 2013 | P ≠ NP | Unadjudicated |
| 049 | A Deterministic Polynomial-time Algorithm for the Clique Problem and the Equality of P and NP Complexity Classes; A polynomial-time algorithm for the maximum clique problem | Zohreh O. Akbari | November 2008; 2013 | P = NP | Unadjudicated |
| 050 | The Collapse of the Polynomial Hierarchy: NP=P | Javaid Aslam | December 2008 | P = NP | Adjudicated |
| 051 | P=NP; M�todo de soluci�n para sistemas de ecuaciones simult�neas sobre un Campo de Galois y aplicaciones en Inteligencia Artificial | Rafael Valls Hidalgo-Gato | March 2009; October 1985 | P = NP | Unadjudicated |
| 052 | On the 1st of April 2009, Doron Zeilberger proved that P is equal to NP. | Doron Zeilberger | 1st of April 2009 | P = NP | Adjudicated |
| 053 | A Polynomial Time Algorithm for the Hamilton Circuit Problem | Xinwen Jiang | April 2009; 2007; 2010; 2011; May 2013 | P = NP | Unadjudicated |
| 054 | Physical portrayal of computational complexity | Arto Annila | June 2009 | P ≠ NP | Unadjudicated |
| 055 | P != NP Proof | Andre Luiz Barbosa | July 2009 | P ≠ NP | Unadjudicated |
| 056 | R�solution du partition problem par une approche arithm�tique | Yann Dujardin | September 2009 | P = NP | Unadjudicated |
| 057 | Method of resolution of 3SAT in polynomial time | Luigi Salemi | September 2009 | P = NP | Unadjudicated |
| 058 | A Possible New Approach to Resolving Open Problems in Computer Science | Ari Blinder | December 2009 | P ≠ NP | Adjudicated |
| 059 | Computationally Difficult Problems: Some Investigations | Narendra S. Chaudhari | 2009 | P = NP | Unadjudicated |
| 060 | A Polynomial Time Algorithm for Hamilton Cycle and Its Proof | Lizhi Du | April 2010 | P = NP | Unadjudicated |
| 061 | A Proof for P vs. NP Problem | Changlin Wan | May 2010 | P = NP | Unadjudicated |
| 062 | The Complexity Of The NP-Class | Carlos Barron-Romero | June 2010 | P ≠ NP | Unadjudicated |
| 063 | Mirrored Language Structure and Innate Logic of the Human Brain as a Computable Model of the Oracle Turing Machine; Knowledge Recognition Algorithm enables P = NP | Han Xiao Wen | June 2010; September 2010 | P = NP | Unadjudicated |
| 064 | Polynomial complexity algorithm for Max-Cut problem | Mikhail Katkov | July 2010 | P = NP | Unadjudicated |
| 065 | P!=NP | Vinay Deolalikar | the beginning of August 2010 | P ≠ NP | Unadjudicated |
| 066 | Complementary to Yannakakis' theorem | Sergey Gubin | August 2010 | P = NP | Adjudicated |
| 067 | Non-Orthodox Combinatorial Models Based on Discordant Structures | Vladimir Romanov | November 2010 | P = NP | Unadjudicated |
| 068 | A Solution to the P versus NP Problem | Frank Vega Delgado | November 2010 | P ≠ NP | Unadjudicated |
| 069 | The Complexity of Euclidian 2 Dimension Travelling Salesman Problem versus General Assign Problem, NP is not P | Carlos Barron-Romero | December 2010 | P ≠ NP | Unadjudicated |
| 070 | THE ANSWER TO THE P/NP PROBLEM IS P≠NP! | Bangyan Wen, Yi Lin | December 2010 | P ≠ NP | Unadjudicated |
| 071 | The Complexity of 3SAT_N and the P versus NP Problem | Ruijia Liao | January 2011 | P ≠ NP | Unadjudicated |
| 072 | Computational Complexity on Signed Numbers | Stefan Jaeger | April 2011 | Other | Unadjudicated |
| 073 | The 3-satisfiability problem | Amar Mukherjee | April 2011 | P = NP | Unadjudicated |
| 074 | A Polynomial Algorithm for 3-sat | Angela Weiss | spring 2011 | P = NP | Unadjudicated |
| 075 | Towards P = NP via k-SAT: A k-SAT Algorithm Using Linear Algebra on Finite Fields | Matt Groff | June 2011 | P = NP | Unadjudicated |
| 076 | Algorithmic complexity of pair cleaning method for k-satisfiability problem | Sergey Kardash | July 2011 | P = NP | Unadjudicated |
| 077 | On the relationship between classes P and NP; About set-theoretic properties of one-way functions; On the structure of the class NP | Anatoly Plotnikov | September/October 2011 | P ≠ NP | Unadjudicated |
| 078 | NP is not AL and P is not NC is not NL is not L | Koji Kobayashi | October 2011 | P ≠ NP | Unadjudicated |
| 079 | Algorithm that Solves 3-SAT in Polynomial Time | Jason W. Steinmetz | October 2011 | P = NP | Unadjudicated |
| 080 | Is it possible to find the maximum clique in general graphs? | Jose Ignacio Alvarez-Hamelin | October 2011 | P = NP | Unadjudicated |
| 081 | Construction of an NP Problem with an Exponential Lower Bound | Roman Yampolskiy | November 2011 | P ≠ NP | Unadjudicated |
| 082 | The Computational Complexity of the Traveling Salesman Problem | Craig Alan Feinstein | November 2011 | P ≠ NP | Unadjudicated |
| 083 | Just How Random Are Your Answers? | Jeffrey W. Holcomb | fall 2011 | P ≠ NP | Unadjudicated |
| 089 | How to solve kSAT in polynomial time | Algirdas Antano Maknickas | March 2011 | P = NP | Unadjudicated |
| 084 | As Velocity Approaches Light Speed, P Becomes Equivalent to NP for Computations Using Zero-Mass Particles | Douglas Youvan | January 2012 | P = NP | Unadjudicated |
| 085 | P vs NP | Gilberto Rodrigo Diduch | January 2012 | P ≠ NP | Unadjudicated |
| 086 | Topological approach to solve P versus NP | Koji Kobayashi | February 2012 | P ≠ NP | Unadjudicated |
| 087 | The existence of one-way functions; P versus UP | Frank Vega Delgado | February 2012 | P ≠ NP | Adjudicated |
| 088 | Inconsistency of the Zermelo-Fraenkel set theory with the axiom of choice and its effects on the computational complexity | Minseong Kim | March 2012 | P ≠ NP | Unadjudicated |
| 090 | From classical versus quantum algorithms to P versus NP | Michel Feldmann | May 2012 | P = NP | Unadjudicated |
| 091 | Computing Cliques is Intractable | Junichiro Fukuyama | summer 2012; May 2013 | P ≠ NP | Unadjudicated |
| 092 | Integer factorization and Discrete Logarithm problem are neither in P nor NP-complete; Relationship between circuit complexity and symmetry | Satoshi Tazawa | July 2012 | P ≠ NP | Unadjudicated |
| 093 | A Constructive Algorithm to Prove P=NP | Wen-Qi Duan | July 2012 | P = NP | Unadjudicated |
| 094 | The proof is constructive, and explicitly gives a polynomial time deterministic algorithm that determines whether there exists a polynomial-length accepting computational path for a given non-deterministic single-tape Turing machine. | Sergey V. Yakhontov | September 2012 | P = NP | Unadjudicated |
| 095 | On the principal impossibility to prove P=NP | Natalia L. Malinina | November 2012 | Other | Unadjudicated |
| 096 | Polynomial Exact-3-SAT Solving Algorithm; Polynomial SAT-Solver - Algorithm Explanation | Louis Coder | December 2012; December 2013 | P = NP | Unadjudicated |
| 097 | A DP Approach to Hamiltonian Path Problem | Dmitriy Nuriyev | January 2013 | P = NP | Unadjudicated |
| 098 | Linear Programming Formulation of Boolean Satisfiability Problem | Algirdas Antano Maknickas | March 2013 | P = NP | Unadjudicated |
| 099 | The Lower Border of Complexity of Algorithm of the Elementary NP-Complete Task (The Most Condensed Version) | Rustem Chingizovich Valeyev | August 2013 | P ≠ NP | Unadjudicated |
| 100 | Solving 3-SAT and 3-dimensional matching in polynomial time | Frederic Gillet | October 2013 | P = NP | Adjudicated |
| 101 | A Algorithm for the Hamilton Circuit Problem | Hanlin Liu | January 2014 | P = NP | Unadjudicated |
| 102 | A Polynomial Time Solution to the Clique Problem | Pawan Tamta, B.P. Pande, H.S. Dhami | February 2014 | P = NP | Adjudicated |
| 103 | Approximation Resistance by Disguising Biased Distributions | Peng Cui | February 2014 | P = NP | Unadjudicated |
| 104 | The P versus NP Problem in Quantum Physics | Daegene Song | February 2014 | P ≠ NP | Unadjudicated |
| 105 | P not equal NP by modus tollens | Joonmo Kim | March 2014 | P ≠ NP | Adjudicated |
| 106 | Polynomial solvability of NP-complete problems | Anatoly Panyukov | September 2014 | P = NP | Unadjudicated |
| 107 | A Polynomial Time Algorithm For Solving Clique Problems | Michael LaPlante | March 2015 | P = NP | Adjudicated |
| 108 | Understanding SAT is in P | Alejandro Sanchez Guinea | April 2015 | P = NP | Unadjudicated |
| 109 | Solution of P versus NP Problem | Frank Vega | June 2015 | P = NP | Unadjudicated |
| 110 | Testing a new idea to solve the P = NP problem with mathematical induction | Yubin Huang | October 2015 | P = NP | Unadjudicated |
| 111 | P vs. NP; Is P equal to NP? | Daniel Uribe, Frank Vega | January 2016; February 2016 | P ≠ NP | Unadjudicated |
| 112 | On Alternation and the Union Theorem | Mathias Hauptmann | February 2016 | P ≠ NP | Unadjudicated |
| 113 | Philosophical Solution to P=?NP: P is Equal to NP | Steven Meyer | March 2016 | P = NP | Unadjudicated |
| 114 | The Tau One-Way Functions Class: P != NP | Javier A. Arroyo-Figueroa | April 2016 | P ≠ NP | Unadjudicated |
| 115 | An Attempt to Demonstrate P=NP | Eli Halylaurin | summer 2016 | P = NP | Unadjudicated |
| 116 | On the Existence of Weak One-Way Functions | Stefan Rass | September 2016 | P ≠ NP | Unadjudicated |
By direction
| Dossier | Claim or work | Author(s) | Year recorded | Direction | Status |
|---|---|---|---|---|---|
| 001 | P=NP | Ted Swart | 1986/87 | P = NP | Adjudicated |
| 002 | Polynomial-Time Partition of a Graph into Cliques | Anatoly Plotnikov | 1996 | P = NP | Unadjudicated |
| 003 | An algorithm with polynomial time complexity for finding clique in a graph; HEWN: A polynomial algorithm for CLIQUE problem | Tang Pushan, Huang Zhijun | Around 1997; 1998 | P = NP | Adjudicated |
| 004 | Positionality principle for notation and calculation the functions (Volume One) | Miron Telpiz | the second half of the year 2000 | P = NP | Unadjudicated |
| 006 | A polynomial time (heuristic) SAT algorithm | Charles Sauerbier | May 2002 | P = NP | Adjudicated |
| 007 | Solution of the Linear Ordering Problem (NP=P); A polynomial algorithm for a problem of linear orders | Givi Bolotashvili | March 2003; 1990 | P = NP | Unadjudicated |
| 014 | P=NP | Selmer Bringsjord, Joshua Taylor | June 2004 | P = NP | Unadjudicated |
| 017 | P=NP: Linear Programming Formulation of the Traveling Salesman Problem; linear programming formulation of the QAP (quadratic assignment problem); Linear programming formulation of the vertex colouring problem; Linear programming formulation of the set partitioning problem; Advances in Combinatorial Optimization | Moustapha Diaby, Mark H Karwan | October 2004; October 2005; 2010; April 2016 | P = NP | Unadjudicated |
| 019 | A Polynomial-time Exact Algorithm for the Subset Sum Problem | Andrea Bianchini | January 2005 | P = NP | Unadjudicated |
| 025 | Two Dimensional Formulas and Tautology Checking | Lokman Kolukisa | October 2005 | P = NP | Unadjudicated |
| 026 | A polynomial-time algorithm for Circuit-SAT; A polynomial-time heuristic for Circuit-SAT | Francesco Capasso | November 2005 | P = NP | Adjudicated |
| 028 | Sigma-notation and the equivalence of P and NP classes | Miron Teplitz | December 2005 | P = NP | Unadjudicated |
| 029 | His main contribution is a linear programming formulation of the TSP with O(n^5) variables and O(n^4) constraints. | Dr. Joachim Mertz | 2005 | P = NP | Unadjudicated |
| 032 | Mohamed Mimouni proved P=NP by constructing a polynomial time algorithm for the clique problem. | Mohamed Mimouni | August 2006 | P = NP | Unadjudicated |
| 033 | A Polynomial Time Algorithm for The Traveling Salesman Problem | Sergey Gubin | October 2006 | P = NP | Adjudicated |
| 037 | The Asymmetric Traveling Salesman Problem | Howard Kleiman | December 2006 | P = NP | Unadjudicated |
| 038 | Finding Hamiltonian cycle in polynomial time | Khadija Riaz, Malik Sikander Hayat Khiyal | 2006 | P = NP | Unadjudicated |
| 039 | Experimental Algorithm for the Maximum Independent Set Problem | Anatoly D. Plotnikov | June 2007 | P = NP | Unadjudicated |
| 040 | The Complexity of HCP in Digraps with Degree Bound Two | Guohun Zhu | summer 2007 | P = NP | Unadjudicated |
| 041 | Graph Isomorphism is PSPACE-complete; A Polynomial Time Algorithm for Graph Isomorphism | Matthew Delacorte, Reiner Czerwinski | August 2007; November 2007 | P = NP | Unadjudicated |
| 042 | The Proof of P=NP | Cynthia Ann Harlan Krieger, Lee K. Jones | March 2008 | P = NP | Unadjudicated |
| 045 | The Kleene-Rosser Paradox, The Liar's Paradox & A Fuzzy Logic Programming Paradox Imply SAT is (NOT) NP-complete | Rafee Ebrahim Kamouna | June 2008 | P = NP | Unadjudicated |
| 049 | A Deterministic Polynomial-time Algorithm for the Clique Problem and the Equality of P and NP Complexity Classes; A polynomial-time algorithm for the maximum clique problem | Zohreh O. Akbari | November 2008; 2013 | P = NP | Unadjudicated |
| 050 | The Collapse of the Polynomial Hierarchy: NP=P | Javaid Aslam | December 2008 | P = NP | Adjudicated |
| 051 | P=NP; M�todo de soluci�n para sistemas de ecuaciones simult�neas sobre un Campo de Galois y aplicaciones en Inteligencia Artificial | Rafael Valls Hidalgo-Gato | March 2009; October 1985 | P = NP | Unadjudicated |
| 052 | On the 1st of April 2009, Doron Zeilberger proved that P is equal to NP. | Doron Zeilberger | 1st of April 2009 | P = NP | Adjudicated |
| 053 | A Polynomial Time Algorithm for the Hamilton Circuit Problem | Xinwen Jiang | April 2009; 2007; 2010; 2011; May 2013 | P = NP | Unadjudicated |
| 056 | R�solution du partition problem par une approche arithm�tique | Yann Dujardin | September 2009 | P = NP | Unadjudicated |
| 057 | Method of resolution of 3SAT in polynomial time | Luigi Salemi | September 2009 | P = NP | Unadjudicated |
| 059 | Computationally Difficult Problems: Some Investigations | Narendra S. Chaudhari | 2009 | P = NP | Unadjudicated |
| 060 | A Polynomial Time Algorithm for Hamilton Cycle and Its Proof | Lizhi Du | April 2010 | P = NP | Unadjudicated |
| 061 | A Proof for P vs. NP Problem | Changlin Wan | May 2010 | P = NP | Unadjudicated |
| 063 | Mirrored Language Structure and Innate Logic of the Human Brain as a Computable Model of the Oracle Turing Machine; Knowledge Recognition Algorithm enables P = NP | Han Xiao Wen | June 2010; September 2010 | P = NP | Unadjudicated |
| 064 | Polynomial complexity algorithm for Max-Cut problem | Mikhail Katkov | July 2010 | P = NP | Unadjudicated |
| 066 | Complementary to Yannakakis' theorem | Sergey Gubin | August 2010 | P = NP | Adjudicated |
| 067 | Non-Orthodox Combinatorial Models Based on Discordant Structures | Vladimir Romanov | November 2010 | P = NP | Unadjudicated |
| 073 | The 3-satisfiability problem | Amar Mukherjee | April 2011 | P = NP | Unadjudicated |
| 074 | A Polynomial Algorithm for 3-sat | Angela Weiss | spring 2011 | P = NP | Unadjudicated |
| 075 | Towards P = NP via k-SAT: A k-SAT Algorithm Using Linear Algebra on Finite Fields | Matt Groff | June 2011 | P = NP | Unadjudicated |
| 076 | Algorithmic complexity of pair cleaning method for k-satisfiability problem | Sergey Kardash | July 2011 | P = NP | Unadjudicated |
| 079 | Algorithm that Solves 3-SAT in Polynomial Time | Jason W. Steinmetz | October 2011 | P = NP | Unadjudicated |
| 080 | Is it possible to find the maximum clique in general graphs? | Jose Ignacio Alvarez-Hamelin | October 2011 | P = NP | Unadjudicated |
| 089 | How to solve kSAT in polynomial time | Algirdas Antano Maknickas | March 2011 | P = NP | Unadjudicated |
| 084 | As Velocity Approaches Light Speed, P Becomes Equivalent to NP for Computations Using Zero-Mass Particles | Douglas Youvan | January 2012 | P = NP | Unadjudicated |
| 090 | From classical versus quantum algorithms to P versus NP | Michel Feldmann | May 2012 | P = NP | Unadjudicated |
| 093 | A Constructive Algorithm to Prove P=NP | Wen-Qi Duan | July 2012 | P = NP | Unadjudicated |
| 094 | The proof is constructive, and explicitly gives a polynomial time deterministic algorithm that determines whether there exists a polynomial-length accepting computational path for a given non-deterministic single-tape Turing machine. | Sergey V. Yakhontov | September 2012 | P = NP | Unadjudicated |
| 096 | Polynomial Exact-3-SAT Solving Algorithm; Polynomial SAT-Solver - Algorithm Explanation | Louis Coder | December 2012; December 2013 | P = NP | Unadjudicated |
| 097 | A DP Approach to Hamiltonian Path Problem | Dmitriy Nuriyev | January 2013 | P = NP | Unadjudicated |
| 098 | Linear Programming Formulation of Boolean Satisfiability Problem | Algirdas Antano Maknickas | March 2013 | P = NP | Unadjudicated |
| 100 | Solving 3-SAT and 3-dimensional matching in polynomial time | Frederic Gillet | October 2013 | P = NP | Adjudicated |
| 101 | A Algorithm for the Hamilton Circuit Problem | Hanlin Liu | January 2014 | P = NP | Unadjudicated |
| 102 | A Polynomial Time Solution to the Clique Problem | Pawan Tamta, B.P. Pande, H.S. Dhami | February 2014 | P = NP | Adjudicated |
| 103 | Approximation Resistance by Disguising Biased Distributions | Peng Cui | February 2014 | P = NP | Unadjudicated |
| 106 | Polynomial solvability of NP-complete problems | Anatoly Panyukov | September 2014 | P = NP | Unadjudicated |
| 107 | A Polynomial Time Algorithm For Solving Clique Problems | Michael LaPlante | March 2015 | P = NP | Adjudicated |
| 108 | Understanding SAT is in P | Alejandro Sanchez Guinea | April 2015 | P = NP | Unadjudicated |
| 109 | Solution of P versus NP Problem | Frank Vega | June 2015 | P = NP | Unadjudicated |
| 110 | Testing a new idea to solve the P = NP problem with mathematical induction | Yubin Huang | October 2015 | P = NP | Unadjudicated |
| 113 | Philosophical Solution to P=?NP: P is Equal to NP | Steven Meyer | March 2016 | P = NP | Unadjudicated |
| 115 | An Attempt to Demonstrate P=NP | Eli Halylaurin | summer 2016 | P = NP | Unadjudicated |
| 005 | Redundancy, Obscurity, Self-Containment & Independence | Seenil Gram | November 13-16, 2001 | P ≠ NP | Unadjudicated |
| 010 | Hubert Chen has a webpage (2003) with a really short argument that "P-not-equal-to-NP": | Hubert Chen | 2003 | P ≠ NP | Unadjudicated |
| 012 | Linear Algebra, Lie Algebra and their applications to P versus NP | Ki-Bong Nam, S.H. Wang, Yang Gon Kim | 2004 | P ≠ NP | Unadjudicated |
| 013 | P versus NP problem solution | Mikhail N. Kupchik | spring 2004 | P ≠ NP | Unadjudicated |
| 015 | Some consequences of defining mathematical objects constructively and mathematical truth effectively; A density-based approach for non-heuristic approximations of prime counting functions | Bhupinder Singh Anand | 2004; 2015 | P ≠ NP | Unadjudicated |
| 016 | P is not NP | Marius Ionescu | September 2004 | P ≠ NP | Unadjudicated |
| 018 | Mircea Alexandru Popescu Moscu introduced an invariance principle of complexity hierarchies. | Mircea Alexandru Popescu Moscu | November 2004 | P ≠ NP | Unadjudicated |
| 020 | Raju Renjit Grover proved that P is not equal to NP, and also that P is not equal to co-NP. | Raju Renjit Grover | February 2005 | P ≠ NP | Unadjudicated |
| 021 | Dr. Viktor V. Ivanov proved that P is not equal to NP. | Dr. Viktor V. Ivanov | March 2005; 2014 | P ≠ NP | Unadjudicated |
| 022 | Is the Halting problem effectively solvable non-algorithmically, and is the Goedel sentence in NP, but not in P? | Bhupinder Singh Anand | June 2005 | P ≠ NP | Unadjudicated |
| 023 | Complexity Theory for Simpletons; Complexity science for simpletons | Craig Alan Feinstein | July 2005; July 2006 | P ≠ NP | Unadjudicated |
| 024 | Proof-sketch: Why NP is not P | Lev Gordeev | Summer 2005 | P ≠ NP | Unadjudicated |
| 027 | Proving that P is not equal to NP and that P is not equal to the intersection of NP and co-NP | Ron Cohen | November 2005 | P ≠ NP | Unadjudicated |
| 030 | P =/= NP | Bhupinder Singh Anand | March 2006 | P ≠ NP | Unadjudicated |
| 031 | A New and Elegant Argument that P is not NP | Craig Alan Feinstein | July 2006 | P ≠ NP | Unadjudicated |
| 034 | Complexity Considerations, cSAT Lower Bound | Radoslaw Hofman | 2006 | P ≠ NP | Unadjudicated |
| 036 | Using Disentangled States and Algorithmic Information Theory to Solve the P Versus NP Problem | Rubens Ramos Viana | November 2006 | P ≠ NP | Unadjudicated |
| 043 | P is a proper subset of NP | Jerrald Meek | April 2008 | P ≠ NP | Unadjudicated |
| 044 | A trivial solution to the PvNP problem | Bhupinder Singh Anand | June 2008 | P ≠ NP | Unadjudicated |
| 046 | Analysis of the postulates produced by Karp's Theorem | Jerrald Meek | August 2008 | P ≠ NP | Unadjudicated |
| 047 | On the existence of polynomial-time algorithms to the subset sum problem | Jorma Jormakka | September 2008 | P ≠ NP | Unadjudicated |
| 048 | P is not equal to NP | Sten-Ake Tarnlund | October 2008; September 2013 | P ≠ NP | Unadjudicated |
| 054 | Physical portrayal of computational complexity | Arto Annila | June 2009 | P ≠ NP | Unadjudicated |
| 055 | P != NP Proof | Andre Luiz Barbosa | July 2009 | P ≠ NP | Unadjudicated |
| 058 | A Possible New Approach to Resolving Open Problems in Computer Science | Ari Blinder | December 2009 | P ≠ NP | Adjudicated |
| 062 | The Complexity Of The NP-Class | Carlos Barron-Romero | June 2010 | P ≠ NP | Unadjudicated |
| 065 | P!=NP | Vinay Deolalikar | the beginning of August 2010 | P ≠ NP | Unadjudicated |
| 068 | A Solution to the P versus NP Problem | Frank Vega Delgado | November 2010 | P ≠ NP | Unadjudicated |
| 069 | The Complexity of Euclidian 2 Dimension Travelling Salesman Problem versus General Assign Problem, NP is not P | Carlos Barron-Romero | December 2010 | P ≠ NP | Unadjudicated |
| 070 | THE ANSWER TO THE P/NP PROBLEM IS P≠NP! | Bangyan Wen, Yi Lin | December 2010 | P ≠ NP | Unadjudicated |
| 071 | The Complexity of 3SAT_N and the P versus NP Problem | Ruijia Liao | January 2011 | P ≠ NP | Unadjudicated |
| 077 | On the relationship between classes P and NP; About set-theoretic properties of one-way functions; On the structure of the class NP | Anatoly Plotnikov | September/October 2011 | P ≠ NP | Unadjudicated |
| 078 | NP is not AL and P is not NC is not NL is not L | Koji Kobayashi | October 2011 | P ≠ NP | Unadjudicated |
| 081 | Construction of an NP Problem with an Exponential Lower Bound | Roman Yampolskiy | November 2011 | P ≠ NP | Unadjudicated |
| 082 | The Computational Complexity of the Traveling Salesman Problem | Craig Alan Feinstein | November 2011 | P ≠ NP | Unadjudicated |
| 083 | Just How Random Are Your Answers? | Jeffrey W. Holcomb | fall 2011 | P ≠ NP | Unadjudicated |
| 085 | P vs NP | Gilberto Rodrigo Diduch | January 2012 | P ≠ NP | Unadjudicated |
| 086 | Topological approach to solve P versus NP | Koji Kobayashi | February 2012 | P ≠ NP | Unadjudicated |
| 087 | The existence of one-way functions; P versus UP | Frank Vega Delgado | February 2012 | P ≠ NP | Adjudicated |
| 088 | Inconsistency of the Zermelo-Fraenkel set theory with the axiom of choice and its effects on the computational complexity | Minseong Kim | March 2012 | P ≠ NP | Unadjudicated |
| 091 | Computing Cliques is Intractable | Junichiro Fukuyama | summer 2012; May 2013 | P ≠ NP | Unadjudicated |
| 092 | Integer factorization and Discrete Logarithm problem are neither in P nor NP-complete; Relationship between circuit complexity and symmetry | Satoshi Tazawa | July 2012 | P ≠ NP | Unadjudicated |
| 099 | The Lower Border of Complexity of Algorithm of the Elementary NP-Complete Task (The Most Condensed Version) | Rustem Chingizovich Valeyev | August 2013 | P ≠ NP | Unadjudicated |
| 104 | The P versus NP Problem in Quantum Physics | Daegene Song | February 2014 | P ≠ NP | Unadjudicated |
| 105 | P not equal NP by modus tollens | Joonmo Kim | March 2014 | P ≠ NP | Adjudicated |
| 111 | P vs. NP; Is P equal to NP? | Daniel Uribe, Frank Vega | January 2016; February 2016 | P ≠ NP | Unadjudicated |
| 112 | On Alternation and the Union Theorem | Mathias Hauptmann | February 2016 | P ≠ NP | Unadjudicated |
| 114 | The Tau One-Way Functions Class: P != NP | Javier A. Arroyo-Figueroa | April 2016 | P ≠ NP | Unadjudicated |
| 116 | On the Existence of Weak One-Way Functions | Stefan Rass | September 2016 | P ≠ NP | Unadjudicated |
| 008 | Nicholas Argall proved on 25 March 2003 that P=NP is undecidable. | Nicholas Argall | 25 March 2003 | Other | Unadjudicated |
| 009 | Consequences of an exotic definition for P=NP | N.C.A. da Costa, F.A. Doria | 2003 | Other | Adjudicated |
| 011 | Evidence that P is not equal to NP; P is not equal to NP | Craig Alan Feinstein | 2003/04 | Other | Adjudicated |
| 035 | co-NP Is Equal To NP | Raju Renjit | November 2006 | Other | Unadjudicated |
| 072 | Computational Complexity on Signed Numbers | Stefan Jaeger | April 2011 | Other | Unadjudicated |
| 095 | On the principal impossibility to prove P=NP | Natalia L. Malinina | November 2012 | Other | Unadjudicated |