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For: Franz S, Leone M, Ricci-Tersenghi F, Zecchina R. Exact solutions for diluted spin glasses and optimization problems. Phys Rev Lett 2001;87:127209. [PMID: 11580554 DOI: 10.1103/physrevlett.87.127209] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/16/2001] [Indexed: 05/23/2023]
Number Cited by Other Article(s)
1
Das S. Multiple transitions in an infinite range p-spin random crystal field Blume-Capel model. Phys Rev E 2022;106:034134. [PMID: 36266859 DOI: 10.1103/physreve.106.034134] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/10/2022] [Accepted: 09/05/2022] [Indexed: 06/16/2023]
2
Torrisi G, Annibale A, Kühn R. Overcoming the complexity barrier of the dynamic message-passing method in networks with fat-tailed degree distributions. Phys Rev E 2021;104:045313. [PMID: 34781444 DOI: 10.1103/physreve.104.045313] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/29/2021] [Accepted: 10/10/2021] [Indexed: 11/07/2022]
3
Choi JM, Gilson AI, Shakhnovich EI. Graph's Topology and Free Energy of a Spin Model on the Graph. PHYSICAL REVIEW LETTERS 2017;118:088302. [PMID: 28282198 PMCID: PMC5668130 DOI: 10.1103/physrevlett.118.088302] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/29/2016] [Indexed: 06/06/2023]
4
Qin SM, Zeng Y, Zhou HJ. Spin-glass phase transitions and minimum energy of the random feedback vertex set problem. Phys Rev E 2016;94:022146. [PMID: 27627285 DOI: 10.1103/physreve.94.022146] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/15/2016] [Indexed: 11/07/2022]
5
Del Ferraro G, Aurell E. Dynamic message-passing approach for kinetic spin models with reversible dynamics. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015;92:010102. [PMID: 26274101 DOI: 10.1103/physreve.92.010102] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/17/2014] [Indexed: 06/04/2023]
6
Takabe S, Hukushima K. Minimum vertex cover problems on random hypergraphs: replica symmetric solution and a leaf removal algorithm. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014;89:062139. [PMID: 25019756 DOI: 10.1103/physreve.89.062139] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/03/2013] [Indexed: 06/03/2023]
7
Jurčišinová E, Jurčišin M. Phase transitions of the p-spin model on pure Husimi lattices. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013;88:012140. [PMID: 23944447 DOI: 10.1103/physreve.88.012140] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/05/2013] [Revised: 06/15/2013] [Indexed: 06/02/2023]
8
Ferreira AL, Mendes JFF, Ostilli M. First- and second-order phase transitions in Ising models on small-world networks: simulations and comparison with an effective field theory. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010;82:011141. [PMID: 20866599 DOI: 10.1103/physreve.82.011141] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/08/2010] [Revised: 05/27/2010] [Indexed: 05/29/2023]
9
Jörg T, Krzakala F, Semerjian G, Zamponi F. First-order transitions and the performance of quantum algorithms in random optimization problems. PHYSICAL REVIEW LETTERS 2010;104:207206. [PMID: 20867059 DOI: 10.1103/physrevlett.104.207206] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/19/2009] [Revised: 03/30/2010] [Indexed: 05/26/2023]
10
Ostilli M, Mendes JFF. Communication and correlation among communities. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2009;80:011142. [PMID: 19658688 DOI: 10.1103/physreve.80.011142] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/03/2009] [Indexed: 05/28/2023]
11
Nakajima T, Hukushima K. Thermodynamic construction of a one-step replica-symmetry-breaking solution in finite-connectivity spin glasses. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2009;80:011103. [PMID: 19658649 DOI: 10.1103/physreve.80.011103] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/14/2009] [Revised: 05/07/2009] [Indexed: 05/28/2023]
12
Alamino RC, Saad D. Typical behavior of relays in communication channels. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2007;76:061124. [PMID: 18233831 DOI: 10.1103/physreve.76.061124] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/02/2007] [Revised: 10/26/2007] [Indexed: 05/25/2023]
13
Migliorini G, Saad D. Finite-connectivity spin-glass phase diagrams and low-density parity check codes. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2006;73:026122. [PMID: 16605413 DOI: 10.1103/physreve.73.026122] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/20/2005] [Indexed: 05/08/2023]
14
Battaglia D, Braunstein A, Chavas J, Zecchina R. Source coding by efficient selection of ground-state clusters. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2005;72:015103. [PMID: 16090025 DOI: 10.1103/physreve.72.015103] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/24/2004] [Indexed: 05/03/2023]
15
Pica Ciamarra M, Tarzia M, de Candia A, Coniglio A. Monodisperse model suitable to study the glass transition. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2003;68:066111. [PMID: 14754273 DOI: 10.1103/physreve.68.066111] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/06/2003] [Indexed: 05/24/2023]
16
Cocco S, Dubois O, Mandler J, Monasson R. Rigorous decimation-based construction of ground pure states for spin-glass models on random lattices. PHYSICAL REVIEW LETTERS 2003;90:047205. [PMID: 12570456 DOI: 10.1103/physrevlett.90.047205] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/12/2002] [Indexed: 05/24/2023]
17
Mézard M, Zecchina R. Random K-satisfiability problem: from an analytic solution to an efficient algorithm. PHYSICAL REVIEW E 2002;66:056126. [PMID: 12513575 DOI: 10.1103/physreve.66.056126] [Citation(s) in RCA: 300] [Impact Index Per Article: 13.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/09/2002] [Indexed: 11/07/2022]
18
Franz S, Leone M, Montanari A, Ricci-Tersenghi F. Dynamic phase transition for decoding algorithms. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2002;66:046120. [PMID: 12443272 DOI: 10.1103/physreve.66.046120] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/03/2002] [Revised: 08/05/2002] [Indexed: 05/24/2023]
19
Mézard M, Parisi G, Zecchina R. Analytic and algorithmic solution of random satisfiability problems. Science 2002;297:812-5. [PMID: 12089451 DOI: 10.1126/science.1073287] [Citation(s) in RCA: 231] [Impact Index Per Article: 10.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
20
Barthel W, Hartmann AK, Leone M, Ricci-Tersenghi F, Weigt M, Zecchina R. Hiding solutions in random satisfiability problems: a statistical mechanics approach. PHYSICAL REVIEW LETTERS 2002;88:188701. [PMID: 12005728 DOI: 10.1103/physrevlett.88.188701] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/09/2001] [Indexed: 05/23/2023]
21
Berg J, Mehta A. Glassy dynamics in granular compaction: sand on random graphs. PHYSICAL REVIEW E 2002;65:031305. [PMID: 11909044 DOI: 10.1103/physreve.65.031305] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/14/2001] [Indexed: 11/07/2022]
22
Crisanti A, Leuzzi L, Parisi G. The 3-SAT problem with large number of clauses in the ∞-replica symmetry breaking scheme. ACTA ACUST UNITED AC 2002. [DOI: 10.1088/0305-4470/35/3/303] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
23
Berg J, Sellitto M. Metastable configurations of spin models on random graphs. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2002;65:016115. [PMID: 11800744 DOI: 10.1103/physreve.65.016115] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/15/2001] [Indexed: 05/23/2023]
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