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Volumn 13, Issue 7, 2000, Pages 19-25

Spanning trees on hypercubic lattices and nonorientable surfaces

Author keywords

Hypercubic lattices; Klein bottle; M bius strip; Spanning trees

Indexed keywords


EID: 0002374912     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(00)00071-9     Document Type: Article
Times cited : (59)

References (12)
  • 1
    • 4944257625 scopus 로고
    • Über die auflösung der gleichungen, auf welche man bei der untersuchung der linearen verteilung galvanischer ströme geführt wird
    • G. Kirchhoff, Über die Auflösung der Gleichungen, auf welche man bei der Untersuchung der linearen Verteilung galvanischer Ströme geführt wird, Ann. Phys. und Chemie. 72, 497-508, (1847).
    • (1847) Ann. Phys. und Chemie. , vol.72 , pp. 497-508
    • Kirchhoff, G.1
  • 3
    • 85037501610 scopus 로고
    • On the Möbius ladders
    • The University of Calgary Research Report, No. 2, (November 1966); J. Sedlácek, On the Skeleton of a Graph or Digraph, Gordon and Breach, New York
    • R.K. Guy and F. Harary, On the Möbius ladders, The University of Calgary Research Report, No. 2, (November 1966); J. Sedlácek, On the Skeleton of a Graph or Digraph, Combinatorial Structures and Applications, Gordon and Breach, New York, (1970).
    • (1970) Combinatorial Structures and Applications
    • Guy, R.K.1    Harary, F.2
  • 4
    • 0009698380 scopus 로고
    • On the mutual cancellation of cluster integrals in Mayer's fugacity series
    • H.N.V. Temperley, On the mutual cancellation of cluster integrals in Mayer's fugacity series, Proc. Phys. Soc. 83, 3-16, (1964).
    • (1964) Proc. Phys. Soc. , vol.83 , pp. 3-16
    • Temperley, H.N.V.1
  • 6
    • 0000033790 scopus 로고
    • Number of spanning trees on a lattice
    • F.Y. Wu, Number of spanning trees on a lattice, J. Phys. A 10, L113-L115, (1977).
    • (1977) J. Phys. A , vol.10
    • Wu, F.Y.1
  • 8
    • 0003780715 scopus 로고
    • Addison-Wesley, Reading, MA
    • F. Harary, Graph Theory, Addison-Wesley, Reading, MA, (1969).
    • (1969) Graph Theory
    • Harary, F.1
  • 10
    • 33744747026 scopus 로고
    • Conformal invariance, the central charge, and universal finite-size amplitudes at criticality
    • H.W.J. Blöte, J.C. Cardy and M.P. Nightingale, Conformal invariance, the central charge, and universal finite-size amplitudes at criticality, Phys. Rev. Lett. 56, 742-745, (1986).
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 742-745
    • Blöte, H.W.J.1    Cardy, J.C.2    Nightingale, M.P.3
  • 11
    • 0000460450 scopus 로고    scopus 로고
    • Dimer statistics on the Möbius strip and the Klein bottle
    • W.T. Lu and F.Y. Wu, Dimer statistics on the Möbius strip and the Klein bottle, Phys. Lett. A259, 108-114, (1999).
    • (1999) Phys. Lett. , vol.A259 , pp. 108-114
    • Lu, W.T.1    Wu, F.Y.2
  • 12
    • 85037513019 scopus 로고    scopus 로고
    • T = 0 partition functions for Potts antiferromagnets on square lattice strips with (twisted) periodic boundary conditions
    • to appear
    • N. Biggs and R. Shrock, T = 0 partition functions for Potts antiferromagnets on square lattice strips with (twisted) periodic boundary conditions, J. Phys. A (to appear).
    • J. Phys. A
    • Biggs, N.1    Shrock, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.