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Volumn 265, Issue 1-2, 1999, Pages 186-223

Ground-state degeneracy of Potts antiferromagnets: Homeomorphic classes with noncompact W boundaries

Author keywords

[No Author keywords available]

Indexed keywords

ANTIFERROMAGNETISM; COMPUTATIONAL METHODS; FUNCTIONS; GRAPH THEORY; GROUND STATE;

EID: 0033101214     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(98)00568-8     Document Type: Article
Times cited : (42)

References (53)
  • 8
    • 9344220161 scopus 로고    scopus 로고
    • note
    • We recall the strict mathematical definition of a graph as a finite collection of vertices and bonds connecting (all or a subset of the) vertices, such that there are (i) no loops, i.e., bonds connecting a vertex to itself and (ii) no multiple bonds connecting a given pair of vertices. We denote the limit as the number of vertices of a family of graphs G goes to infinity as {G}.
  • 14
    • 0002461816 scopus 로고
    • Chromatic polynomials
    • E.W. Beineke, R.J. Wilson (Eds.), Academic Press, New York
    • R.C. Read, W.T. Tutte, Chromatic polynomials, in: E.W. Beineke, R.J. Wilson (Eds.), Selected Topics in Graph Theory, vol. 3, Academic Press, New York, 1988.
    • (1988) Selected Topics in Graph Theory , vol.3
    • Read, R.C.1    Tutte, W.T.2
  • 16
    • 0003780715 scopus 로고
    • Addison-Wesley, Reading
    • F. Harary, Graph Theory, Addison-Wesley, Reading, 1969.
    • (1969) Graph Theory
    • Harary, F.1
  • 17
    • 0004242420 scopus 로고
    • Cambridge, U.K., Cambridge Univ. Press, 1st ed. 1974, 2nd ed.
    • N.E. Biggs, Algebraic Graph Theory, Cambridge, U.K., Cambridge Univ. Press, 1st ed. 1974, 2nd ed. 1993.
    • (1993) Algebraic Graph Theory
    • Biggs, N.E.1
  • 30
    • 9344254062 scopus 로고    scopus 로고
    • note
    • Relevant carlier papers on ℬ are Refs. [31-34]. (The locus ℬ for ladder graphs given in Refs. [31,34] were not quite correct; the correct locus was given in Ref. [19]; see also the comment in Ref. [26].)
  • 35
    • 9344231631 scopus 로고    scopus 로고
    • note
    • y = 2 strip of the triangular lattice.
  • 40
    • 9344245947 scopus 로고    scopus 로고
    • note
    • n is thus the graph with n vertices and no bonds.
  • 42
    • 9344237889 scopus 로고    scopus 로고
    • note
    • contr,q).
  • 44
    • 9344231074 scopus 로고    scopus 로고
    • note
    • k,r, the resultant boundary ℬ is given by the compact locus of Eq. (5.3).
  • 45
    • 9344250213 scopus 로고    scopus 로고
    • Ph.D. thesis, State Univ. of New York, April
    • Additional figures giving the respective ℬ and chromatic zeros for higher values of k are given in S.-H. Tsai, Ph.D. thesis, State Univ. of New York, April, 1998.
    • (1998)
    • Tsai, S.-H.1
  • 46
    • 9344251878 scopus 로고    scopus 로고
    • note
    • i.
  • 53
    • 9344250772 scopus 로고    scopus 로고
    • American Mathematical Society, Providence, RI
    • V. Kharlamov et al. (Eds.), AMS Translations, vol. 173, American Mathematical Society, Providence, RI, 1996.
    • (1996) AMS Translations , vol.173
    • Kharlamov, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.