(en) Samuel Fiorini, Serge Massar, Sebastian Pokutta et Hans Raj Tiwary, « Linear vs. semidefinite extended formulations: exponential separation and strong lower bounds », Proceedings of the 44th Symposium on Theory of Computing Conference, STOC 2012, ACM, , p. 95–106 (ISBN978-1-4503-1245-5, DOI10.1145/2213977.2213988, lire en ligne, consulté le )
(en) Thomas Rothvoss, « The matching polytope has exponential extension complexity », Proceedings of the 46th Symposium on Theory of Computing Conference, STOC 2014, ACM, , p. 263–272 (ISBN978-1-4503-2710-7, DOI10.1145/2591796.2591834, lire en ligne, consulté le )
ams.org
Omer Reingold, Salil Vadhan et Avi Wigderson, « Entropy waves, the zig-zag graph product, and new constant-degree expanders », Annals of Mathematics, vol. 155, no 1, , p. 157–187 (DOI10.2307/3062153, JSTOR3062153, MR1888797, lire en ligne [archive du ])
Dan Boneh et Matthew Franklin, « Identity-based encryption from the Weil pairing », SIAM Journal on Computing, vol. 32, no 3, , p. 586–615 (DOI10.1137/S0097539701398521, MR2001745)
Antoine Joux, « A one round protocol for tripartite Diffie-Hellman », Journal of Cryptology, vol. 17, no 4, , p. 263–276 (DOI10.1007/s00145-004-0312-y, MR2090557)
Maurice Herlihy et Nir Shavit, « The topological structure of asynchronous computation », Journal of the ACM, vol. 46, no 6, , p. 858–923 (DOI10.1145/331524.331529, lire en ligne)
doi.org
dx.doi.org
László Babai et Shlomo Moran, « Arthur-Merlin games: a randomized proof system, and a hierarchy of complexity class », Journal of Computer and System Sciences, vol. 36, no 2, , p. 254–276 (DOI10.1016/0022-0000(88)90028-1, lire en ligne)
S. Goldwasser, S. Micali et C. Rackoff, « The knowledge complexity of interactive proof systems », SIAM Journal on Computing, vol. 18, no 1, , p. 186–208 (DOI10.1137/0218012, lire en ligne)
R. Szelepcsényi, « The method of forced enumeration for nondeterministic automata », Acta Informatica, vol. 26, no 3, , p. 279–284 (DOI10.1007/BF00299636)
Mark Jerrum et Alistair Sinclair, « Approximating the permanent », SIAM Journal on Computing, vol. 18, no 6, , p. 1149–1178 (ISSN1095-7111, DOI10.1137/0218077)
Seinosuke Toda, « PP is as hard as the polynomial-time hierarchy », SIAM Journal on Computing, vol. 20, no 5, , p. 865–877 (DOI10.1137/0220053, lire en ligne)
Peter W. Shor, « Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer », SIAM Journal on Computing, vol. 26, no 5, , p. 1484–1509 (DOI10.1137/S0097539795293172, lire en ligne)
Uriel Feige, Shafi Goldwasser, Laszlo Lovász, Shmuel Safra et Mario Szegedy, « Interactive proofs and the hardness of approximating cliques », Journal of the ACM, vol. 43, no 2, , p. 268–292 (DOI10.1145/226643.226652, lire en ligne)
Sanjeev Arora et Shmuel Safra, « Probabilistic checking of proofs: a new characterization of NP », Journal of the ACM, vol. 45, no 1, , p. 70–122 (DOI10.1145/273865.273901, lire en ligne [archive du ])
Sanjeev Arora, Carsten Lund, Rajeev Motwani, Madhu Sudan et Mario Szegedy, « Proof verification and the hardness of approximation problems », Journal of the ACM, vol. 45, no 3, , p. 501–555 (DOI10.1145/278298.278306, lire en ligne [archive du ])
Géraud Sénizergues, « L(A) = L(B)? decidability results from complete formal systems », Theor. Comput. Sci., vol. 251, no 1, , p. 1–166 (DOI10.1016/S0304-3975(00)00285-1)
Y. Freund et R.E. Schapire, « A decision-theoretic generalization of on-line learning and an application to boosting », Journal of Computer and System Sciences, vol. 55, no 1, , p. 119–139 (DOI10.1006/jcss.1997.1504, lire en ligne)
Maurice Herlihy et Nir Shavit, « The topological structure of asynchronous computation », Journal of the ACM, vol. 46, no 6, , p. 858–923 (DOI10.1145/331524.331529, lire en ligne)
Noga Alon, Yossi Matias et Mario Szegedy, « The space complexity of approximating the frequency moments », Journal of Computer and System Sciences, vol. 58, no 1, , p. 137–147 (DOI10.1006/jcss.1997.1545, lire en ligne)
Alexander A. Razborov et Steven Rudich, « Natural proofs », Journal of Computer and System Sciences, vol. 55, no 1, , p. 24–35 (DOI10.1006/jcss.1997.1494)
Omer Reingold, Salil Vadhan et Avi Wigderson, « Entropy waves, the zig-zag graph product, and new constant-degree expanders », Annals of Mathematics, vol. 155, no 1, , p. 157–187 (DOI10.2307/3062153, JSTOR3062153, MR1888797, lire en ligne [archive du ])
Sanjeev Arora, « Polynomial time approximation schemes for Euclidean traveling salesman and other geometric problems », Journal of the ACM, vol. 45, no 5, , p. 753–782 (DOI10.1145/290179.290180)
Joseph S. B. Mitchell, « Guillotine Subdivisions Approximate Polygonal Subdivisions: A Simple Polynomial-Time Approximation Scheme for Geometric TSP, k-MST, and Related Problems », SIAM Journal on Computing, vol. 28, no 4, , p. 1298–1309 (ISSN1095-7111, DOI10.1137/S0097539796309764)
Elias Koutsoupias et Christos Papadimitriou, « Worst-case equilibria », Computer Science Review, vol. 3, no 2, , p. 65–69 (DOI10.1016/j.cosrev.2009.04.003)
Tim Roughgarden et Éva Tardos, « How bad is selfish routing? », Journal of the ACM, vol. 49, no 2, , p. 236–259 (DOI10.1145/506147.506153)
Noam Nisan et Amir Ronen, « Algorithmic Mechanism Design », Games and Economic Behavior, vol. 35, nos 1-2, , p. 166–196 (DOI10.1006/game.1999.0790)
Dan Boneh et Matthew Franklin, « Identity-based encryption from the Weil pairing », SIAM Journal on Computing, vol. 32, no 3, , p. 586–615 (DOI10.1137/S0097539701398521, MR2001745)
Antoine Joux, « A one round protocol for tripartite Diffie-Hellman », Journal of Cryptology, vol. 17, no 4, , p. 263–276 (DOI10.1007/s00145-004-0312-y, MR2090557)
Ronald Fagin, Amnon Lotem et Moni Naor, « Optimal aggregation algorithms for middleware », Journal of Computer and System Sciences, vol. 66, no 4, , p. 614-656 (DOI10.1016/S0022-0000(03)00026-6)
Daniel A. Spielman et Shang-Hua Teng, « Spectral Sparsification of Graphs », SIAM Journal on Computing, vol. 40, no 4, , p. 981-1025 (ISSN0097-5397, DOI10.1137/08074489X).
Daniel A. Spielman et Shang-Hua Teng, « A Local Clustering Algorithm for Massive Graphs and Its Application to Nearly Linear Time Graph Partitioning », SIAM Journal on Computing, vol. 42, no 1, , p. 1-26 (ISSN0097-5397, DOI10.1137/080744888).
Andrei A. Bulatov, « The complexity of the counting constraint satisfaction problem », Journal of the ACM, Association for Computing Machinery (ACM), vol. 60, no 5, , p. 1–41 (ISSN0004-5411, DOI10.1145/2528400)
Martin Dyer et David Richerby, « An Effective Dichotomy for the Counting Constraint Satisfaction Problem », Society for Industrial & Applied Mathematics (SIAM), vol. 42, no 3, , p. 1245–1274 (ISSN0097-5397, DOI10.1137/100811258)
Jin-Yi Cai et Xi Chen, « Complexity of Counting CSP with Complex Weights », Association for Computing Machinery (ACM), vol. 64, no 3, , p. 1–39 (ISSN0004-5411, DOI10.1145/2822891)
(en) Samuel Fiorini, Serge Massar, Sebastian Pokutta et Hans Raj Tiwary, « Linear vs. semidefinite extended formulations: exponential separation and strong lower bounds », Proceedings of the 44th Symposium on Theory of Computing Conference, STOC 2012, ACM, , p. 95–106 (ISBN978-1-4503-1245-5, DOI10.1145/2213977.2213988, lire en ligne, consulté le )
(en) Thomas Rothvoss, « The matching polytope has exponential extension complexity », Proceedings of the 46th Symposium on Theory of Computing Conference, STOC 2014, ACM, , p. 263–272 (ISBN978-1-4503-2710-7, DOI10.1145/2591796.2591834, lire en ligne, consulté le )
Mark Jerrum et Alistair Sinclair, « Approximating the permanent », SIAM Journal on Computing, vol. 18, no 6, , p. 1149–1178 (ISSN1095-7111, DOI10.1137/0218077)
Joseph S. B. Mitchell, « Guillotine Subdivisions Approximate Polygonal Subdivisions: A Simple Polynomial-Time Approximation Scheme for Geometric TSP, k-MST, and Related Problems », SIAM Journal on Computing, vol. 28, no 4, , p. 1298–1309 (ISSN1095-7111, DOI10.1137/S0097539796309764)
Daniel A. Spielman et Shang-Hua Teng, « Spectral Sparsification of Graphs », SIAM Journal on Computing, vol. 40, no 4, , p. 981-1025 (ISSN0097-5397, DOI10.1137/08074489X).
Daniel A. Spielman et Shang-Hua Teng, « A Local Clustering Algorithm for Massive Graphs and Its Application to Nearly Linear Time Graph Partitioning », SIAM Journal on Computing, vol. 42, no 1, , p. 1-26 (ISSN0097-5397, DOI10.1137/080744888).
Andrei A. Bulatov, « The complexity of the counting constraint satisfaction problem », Journal of the ACM, Association for Computing Machinery (ACM), vol. 60, no 5, , p. 1–41 (ISSN0004-5411, DOI10.1145/2528400)
Martin Dyer et David Richerby, « An Effective Dichotomy for the Counting Constraint Satisfaction Problem », Society for Industrial & Applied Mathematics (SIAM), vol. 42, no 3, , p. 1245–1274 (ISSN0097-5397, DOI10.1137/100811258)
Jin-Yi Cai et Xi Chen, « Complexity of Counting CSP with Complex Weights », Association for Computing Machinery (ACM), vol. 64, no 3, , p. 1–39 (ISSN0004-5411, DOI10.1145/2822891)
jstor.org
Omer Reingold, Salil Vadhan et Avi Wigderson, « Entropy waves, the zig-zag graph product, and new constant-degree expanders », Annals of Mathematics, vol. 155, no 1, , p. 157–187 (DOI10.2307/3062153, JSTOR3062153, MR1888797, lire en ligne [archive du ])
kfupm.edu.sa
eprints.kfupm.edu.sa
Daniel A. Spielman et Shang-Hua Teng, « Smoothed analysis of algorithms: Why the simplex algorithm usually takes polynomial time », Journal of the ACM, vol. 51, no 3, , p. 385–463 (lire en ligne [archive du ])
Omer Reingold, Salil Vadhan et Avi Wigderson, « Entropy waves, the zig-zag graph product, and new constant-degree expanders », Annals of Mathematics, vol. 155, no 1, , p. 157–187 (DOI10.2307/3062153, JSTOR3062153, MR1888797, lire en ligne [archive du ])
reference.kfupm.edu.sa
Johan Håstad, « Almost Optimal Lower Bounds for Small Depth Circuits », dans Silvio Micali (éditeur), Randomness and Computation, JAI Press, coll. « Advances in Computing Research » (no 5), (ISBN0-89232-896-7, lire en ligne [archive du ]), « Almost Optimal Lower Bounds for Small Depth Circuits », p. 6–20
Jacques Stern, « Antoine Joux, Prix Gödel 2013 », 1024 - Bulletin de la société informatique de France, no 1, , p. 107-110 (lire en ligne)
mcgill.ca
crypto.cs.mcgill.ca
László Babai et Shlomo Moran, « Arthur-Merlin games: a randomized proof system, and a hierarchy of complexity class », Journal of Computer and System Sciences, vol. 36, no 2, , p. 254–276 (DOI10.1016/0022-0000(88)90028-1, lire en ligne)
S. Goldwasser, S. Micali et C. Rackoff, « The knowledge complexity of interactive proof systems », SIAM Journal on Computing, vol. 18, no 1, , p. 186–208 (DOI10.1137/0218012, lire en ligne)
mit.edu
groups.csail.mit.edu
Uriel Feige, Shafi Goldwasser, Laszlo Lovász, Shmuel Safra et Mario Szegedy, « Interactive proofs and the hardness of approximating cliques », Journal of the ACM, vol. 43, no 2, , p. 268–292 (DOI10.1145/226643.226652, lire en ligne)
princeton.edu
physics.princeton.edu
Peter W. Shor, « Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer », SIAM Journal on Computing, vol. 26, no 5, , p. 1484–1509 (DOI10.1137/S0097539795293172, lire en ligne)
Seinosuke Toda, « PP is as hard as the polynomial-time hierarchy », SIAM Journal on Computing, vol. 20, no 5, , p. 865–877 (DOI10.1137/0220053, lire en ligne)
tau.ac.il
math.tau.ac.il
Noga Alon, Yossi Matias et Mario Szegedy, « The space complexity of approximating the frequency moments », Journal of Computer and System Sciences, vol. 58, no 1, , p. 137–147 (DOI10.1006/jcss.1997.1545, lire en ligne)
Y. Freund et R.E. Schapire, « A decision-theoretic generalization of on-line learning and an application to boosting », Journal of Computer and System Sciences, vol. 55, no 1, , p. 119–139 (DOI10.1006/jcss.1997.1504, lire en ligne)
Sanjeev Arora et Shmuel Safra, « Probabilistic checking of proofs: a new characterization of NP », Journal of the ACM, vol. 45, no 1, , p. 70–122 (DOI10.1145/273865.273901, lire en ligne [archive du ])
Sanjeev Arora, Carsten Lund, Rajeev Motwani, Madhu Sudan et Mario Szegedy, « Proof verification and the hardness of approximation problems », Journal of the ACM, vol. 45, no 3, , p. 501–555 (DOI10.1145/278298.278306, lire en ligne [archive du ])
web.archive.org
Johan Håstad, « Almost Optimal Lower Bounds for Small Depth Circuits », dans Silvio Micali (éditeur), Randomness and Computation, JAI Press, coll. « Advances in Computing Research » (no 5), (ISBN0-89232-896-7, lire en ligne [archive du ]), « Almost Optimal Lower Bounds for Small Depth Circuits », p. 6–20
Sanjeev Arora et Shmuel Safra, « Probabilistic checking of proofs: a new characterization of NP », Journal of the ACM, vol. 45, no 1, , p. 70–122 (DOI10.1145/273865.273901, lire en ligne [archive du ])
Sanjeev Arora, Carsten Lund, Rajeev Motwani, Madhu Sudan et Mario Szegedy, « Proof verification and the hardness of approximation problems », Journal of the ACM, vol. 45, no 3, , p. 501–555 (DOI10.1145/278298.278306, lire en ligne [archive du ])
Omer Reingold, « Undirected connectivity in log-space », Journal of the ACM, vol. 55, no 4, , p. 1–24 (lire en ligne)
wikiwix.com
archive.wikiwix.com
Daniel A. Spielman et Shang-Hua Teng, « Smoothed analysis of algorithms: Why the simplex algorithm usually takes polynomial time », Journal of the ACM, vol. 51, no 3, , p. 385–463 (lire en ligne [archive du ])
Omer Reingold, Salil Vadhan et Avi Wigderson, « Entropy waves, the zig-zag graph product, and new constant-degree expanders », Annals of Mathematics, vol. 155, no 1, , p. 157–187 (DOI10.2307/3062153, JSTOR3062153, MR1888797, lire en ligne [archive du ])