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Volumn 10, Issue 3, 2001, Pages 219-237

An Entropy Approach to the Hard-Core Model on Bipartite Graphs

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EID: 0035626591     PISSN: 09635483     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0963548301004631     Document Type: Article
Times cited : (149)

References (15)
  • 1
    • 51249178473 scopus 로고
    • Independent sets in regular graphs and sum-free subsets of finite groups
    • Alon, N. (1991) Independent sets in regular graphs and sum-free subsets of finite groups. Israel J. Math. 73 247-256.
    • (1991) Israel J. Math. , vol.73 , pp. 247-256
    • Alon, N.1
  • 2
    • 0442303532 scopus 로고    scopus 로고
    • Private communication
    • van den Berg, J. Private communication.
    • Van Den Berg, J.1
  • 3
    • 0001229301 scopus 로고
    • Percolation and the hardcore lattice gas model
    • van den Berg, J. and Steif, J. E. (1994) Percolation and the hardcore lattice gas model. Stoch. Proc. Appl. 49 179-197.
    • (1994) Stoch. Proc. Appl. , vol.49 , pp. 179-197
    • Van Den Berg, J.1    Steif, J.E.2
  • 4
    • 0004142253 scopus 로고
    • Cambridge University Press, Cambridge
    • Bollobás, B. (1986) Combinatorics, Cambridge University Press, Cambridge.
    • (1986) Combinatorics
    • Bollobás, B.1
  • 6
    • 0002555497 scopus 로고    scopus 로고
    • The number of independent sets in a grid graph
    • Calkin, N. J. and Wilf, H. S. (1998) The number of independent sets in a grid graph. SIAM J. Discrete Math. 11 54-60.
    • (1998) SIAM J. Discrete Math. , vol.11 , pp. 54-60
    • Calkin, N.J.1    Wilf, H.S.2
  • 8
    • 0011663981 scopus 로고
    • The problem of uniqueness of a Gibbs random field and the problem of phase transition
    • Dobrushin, R. L. (1968) The problem of uniqueness of a Gibbs random field and the problem of phase transition. Functional Anal. Appl. 2 302-312.
    • (1968) Functional Anal. Appl. , vol.2 , pp. 302-312
    • Dobrushin, R.L.1
  • 9
    • 0002726991 scopus 로고
    • The shifting technique in extremal set theory
    • C. Whitehead, ed., Cambridge University Press, Cambridge
    • Frankl, P. (1987) The shifting technique in extremal set theory. In Surveys in Combinatorics (C. Whitehead, ed.), Cambridge University Press, Cambridge, pp. 81-110.
    • (1987) Surveys in Combinatorics , pp. 81-110
    • Frankl, P.1
  • 11
    • 0009004137 scopus 로고    scopus 로고
    • 2 with parity-dependent activities
    • 2 with parity-dependent activities. Ark. Mat. 35 171-184.
    • (1997) Ark. Mat. , vol.35 , pp. 171-184
    • Häggström, O.1
  • 12
    • 0001173412 scopus 로고
    • Optimal numberings and isoperimetric problems on graphs
    • Harper, L. H. (1966) Optimal numberings and isoperimetric problems on graphs. J. Combin. Theory 1 385-394.
    • (1966) J. Combin. Theory , vol.1 , pp. 385-394
    • Harper, L.H.1
  • 13
    • 0000741333 scopus 로고    scopus 로고
    • Generalized rank functions and an entropy argument
    • Kahn, J. and Lawrenz, A. (1999) Generalized rank functions and an entropy argument. J. Combin. Theory Ser. A 87 398-403.
    • (1999) J. Combin. Theory Ser. A , vol.87 , pp. 398-403
    • Kahn, J.1    Lawrenz, A.2
  • 15
    • 0030636801 scopus 로고    scopus 로고
    • An entropy proof of Bregman's theorem
    • Radhakrishnan, J. (1997) An entropy proof of Bregman's theorem. J. Combin. Theory Ser. A 77 161-164.
    • (1997) J. Combin. Theory Ser. A , vol.77 , pp. 161-164
    • Radhakrishnan, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.