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Volumn 56, Issue 3, 1997, Pages 2733-2737

Ground-state entropy of potts antiferromagnets: Bounds, series, and monte carlo measurements

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EID: 4243808666     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.2733     Document Type: Article
Times cited : (46)

References (22)
  • 6
    • 0004126702 scopus 로고
    • Academic Press, New York, edited by L. W. Beineke and R. J. Wilson
    • R. C. Read and W. T. Tutte, in Selected Topics in Graph Theory, 3, edited by L. W. Beineke and R. J. Wilson (Academic Press, New York, 1988).
    • (1988) Selected Topics in Graph Theory, 3
    • Read, R.C.1    Tutte, W.T.2
  • 7
    • 0004242420 scopus 로고
    • Cambridge, University Press, Cambridge, England
    • N. L. Biggs, Algebraic Graph Theory, 2nd ed. (Cambridge, University Press, Cambridge, England, 1993).
    • (1993) Algebraic Graph Theory
    • Biggs, N.L.1
  • 8
    • 0031581625 scopus 로고    scopus 로고
    • R. Shrock and S.-H. Tsai, J. Phys. A 30, 495 (1997).JPHAC5
    • (1997) J. Phys. A , vol.30 , pp. 495
    • Shrock, R.1
  • 9
    • 0000931941 scopus 로고
    • R. Shrock and S.-H. Tsai, Phys. Rev. E 55, 5165 (1977).PLEEE8
    • (1977) Phys. Rev. E , vol.55 , pp. 5165
    • Shrock, R.1
  • 10
    • 0000647605 scopus 로고    scopus 로고
    • R. Shrock and S.-H. Tsai, Phys. Rev. E 55, 6791 (1997).PLEEE8
    • (1997) Phys. Rev. E , vol.55 , pp. 6791
    • Shrock, R.1
  • 11
    • 0001223998 scopus 로고    scopus 로고
    • ibid. (to be published)
    • R. Shrock and S.-H. Tsai, Phys. Rev. E 56, 1342(1997);ibid. (to be published).
    • (1997) Phys. Rev. E , vol.56 , pp. 1342
    • Shrock and, R.1
  • 13
    • 85037247672 scopus 로고    scopus 로고
    • 8(Formula presented)=(Formula presented) equivalently stated, the (Formula presented) Potts AF (Ising model) on (Formula presented) has no ground-state entropy
    • 8(Formula presented)=(Formula presented) equivalently stated, the (Formula presented) Potts AF (Ising model) on (Formula presented) has no ground-state entropy.
  • 19
    • 0000202044 scopus 로고
    • D. Kim and I. G. Enting, J. Combin. Theory B 26, 327 (1979). Note that the function denoted (Formula presented) for the honeycomb lattice in this reference is implicitly defined per 2-cell, not per site, and hence is equal to (Formula presented)
    • (1979) J. Combin. Theory B , vol.26 , pp. 327
    • Kim, D.1    Enting, I.G.2
  • 22
    • 85037243094 scopus 로고    scopus 로고
    • This nonplanar graph differs from the (planar) union jack lattice in that the diagonals do not form a further vertex in the middle of each square
    • This nonplanar graph differs from the (planar) union jack lattice in that the diagonals do not form a further vertex in the middle of each square.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.