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Volumn , Issue , 2012, Pages 941-953

Approximation algorithms for two-state anti-ferromagnetic spin systems on bounded degree graphs

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION ALGORITHMS; FERROMAGNETIC MATERIALS; FERROMAGNETISM; FORESTRY; GRAPHIC METHODS; ISING MODEL; MIXING; POLYNOMIAL APPROXIMATION; SPIN DYNAMICS; STATISTICAL PHYSICS;

EID: 84860134811     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1137/1.9781611973099.75     Document Type: Conference Paper
Times cited : (46)

References (15)
  • 1
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    • On counting independent sets in sparse graphs
    • DOI 10.1137/S0097539701383844, PII S0097539701383844
    • M. E. Dyer, A. M. Frieze, and M. Jerrum. On counting independent sets in sparse graphs. SIAM J. Comput., 31(5):1527-1541, 2002. (Pubitemid 35298410)
    • (2002) SIAM Journal on Computing , vol.31 , Issue.5 , pp. 1527-1541
    • Dyer, M.1    Frieze, A.2    Jerrum, M.3
  • 2
    • 80052369492 scopus 로고    scopus 로고
    • Improved inapproximability results for counting independent sets in the hard-core model
    • L. A. Goldberg, K. Jansen, R. Ravi, and J. D. P. Rolim, editors, APPROX-RANDOM, Springer
    • A. Galanis, Q. Ge, D. Stefankovic, E. Vigoda, and L. Yang. Improved inapproximability results for counting independent sets in the hard-core model. In L. A. Goldberg, K. Jansen, R. Ravi, and J. D. P. Rolim, editors, APPROX-RANDOM, volume 6845 of Lecture Notes in Computer Science, pages 567-578. Springer, 2011.
    • (2011) Lecture Notes in Computer Science , vol.6845 , pp. 567-578
    • Galanis, A.1    Ge, Q.2    Stefankovic, D.3    Vigoda, E.4    Yang, L.5
  • 6
    • 0027677367 scopus 로고
    • Polynomial-time approximation algorithms for the Ising model
    • M. Jerrum and A. Sinclair. Polynomial-time approximation algorithms for the Ising model. SIAM J. Comput, 22(5):1087-1116, 1993.
    • (1993) SIAM J. Comput , vol.22 , Issue.5 , pp. 1087-1116
    • Jerrum, M.1    Sinclair, A.2
  • 7
    • 84860123234 scopus 로고    scopus 로고
    • Approximate counting via correlation decay in spin systems
    • abs/1109.0604
    • L. Li, P. Lu, and Y. Yin. Approximate counting via correlation decay in spin systems. CoRR, abs/1109.0604, 2011.
    • (2011) CoRR
    • Li, L.1    Lu, P.2    Yin, Y.3
  • 9
    • 59449106512 scopus 로고    scopus 로고
    • On the hardness of sampling independent sets beyond the tree threshold
    • E. Mossel, D. Weitz, and N. Wormald. On the hardness of sampling independent sets beyond the tree threshold. Probab. Theory Related Fields, 143(3-4):401-439, 2009.
    • (2009) Probab. Theory Related Fields , vol.143 , Issue.3-4 , pp. 401-439
    • Mossel, E.1    Weitz, D.2    Wormald, N.3
  • 10
    • 84863313807 scopus 로고    scopus 로고
    • Improved mixing condition on the grid for counting and sampling independent sets
    • abs/1105.0914
    • R. Restrepo, J. Shin, P. Tetali, E. Vigoda, and L. Yang. Improved mixing condition on the grid for counting and sampling independent sets. CoRR, abs/1105.0914, 2011.
    • (2011) CoRR
    • Restrepo, R.1    Shin, J.2    Tetali, P.3    Vigoda, E.4    Yang, L.5
  • 13
    • 84860128269 scopus 로고    scopus 로고
    • Private communication
    • D. Weitz. Private communication. 2011.
    • (2011)
    • Weitz, D.1
  • 15
    • 84860141470 scopus 로고    scopus 로고
    • Approximating partition functions of two-state spin systems
    • abs/0911.5486
    • J. Zhang, H. Liang, and F. Bai. Approximating partition functions of two-state spin systems. CoRR, abs/0911.5486, 2009.
    • (2009) CoRR
    • Zhang, J.1    Liang, H.2    Bai, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.