메뉴 건너뛰기




Volumn 15, Issue 3, 2006, Pages 377-383

The complexity of counting colourings of subgraphs of the grid

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTATION THEORY; MATHEMATICAL TECHNIQUES; TREES (MATHEMATICS);

EID: 33645682335     PISSN: 09635483     EISSN: 14692163     Source Type: Journal    
DOI: 10.1017/S0963548305007364     Document Type: Article
Times cited : (4)

References (20)
  • 1
    • 0001919985 scopus 로고    scopus 로고
    • An algorithm for the Tutte polynomials of graphs of bounded treewidth
    • Andrzejak, A. (1998) An algorithm for the Tutte polynomials of graphs of bounded treewidth. Discrete Math. 190 39-54.
    • (1998) Discrete Math. , vol.190 , pp. 39-54
    • Andrzejak, A.1
  • 3
    • 0001844357 scopus 로고
    • Colouring square lattice graphs
    • Biggs, N. L. (1977) Colouring square lattice graphs. Bull. London Math. Soc. 9 54-56.
    • (1977) Bull. London Math. Soc. , vol.9 , pp. 54-56
    • Biggs, N.L.1
  • 5
    • 51249163854 scopus 로고
    • The complexity of computing the Tutte polynomial on transversal matroids
    • Colbourn, C. J., Provan, J. S. and Vertigan, D. L. (1995) The complexity of computing the Tutte polynomial on transversal matroids. Combinatorica 15 1-10.
    • (1995) Combinatorica , vol.15 , pp. 1-10
    • Colbourn, C.J.1    Provan, J.S.2    Vertigan, D.L.3
  • 8
    • 38249042984 scopus 로고
    • The complexity of colouring problems on dense graphs
    • Edwards, K. J. (1986) The complexity of colouring problems on dense graphs. Theoret. Comput. Sci. 43 337-343.
    • (1986) Theoret. Comput. Sci. , vol.43 , pp. 337-343
    • Edwards, K.J.1
  • 9
    • 38249011331 scopus 로고
    • The complexity of some graph colouring problems
    • Edwards, K. J. (1992) The complexity of some graph colouring problems. Discrete Appl. Math. 36 131-140.
    • (1992) Discrete Appl. Math. , vol.36 , pp. 131-140
    • Edwards, K.J.1
  • 11
    • 0034356673 scopus 로고    scopus 로고
    • The complexity of counting colourings and independent sets in sparse graphs and hypergraphs
    • Greenhill, C. (2000) The complexity of counting colourings and independent sets in sparse graphs and hypergraphs. Computational Complexity 9 52-73.
    • (2000) Computational Complexity , vol.9 , pp. 52-73
    • Greenhill, C.1
  • 12
    • 84974224170 scopus 로고
    • On the computational complexity of the Jones and Tutte polynomials
    • Jaeger, F., Vertigan, D. L. and Welsh, D. J. A. (1990) On the computational complexity of the Jones and Tutte polynomials. Math. Proc. Comb. Phil. Soc. 108 35-53.
    • (1990) Math. Proc. Comb. Phil. Soc. , vol.108 , pp. 35-53
    • Jaeger, F.1    Vertigan, D.L.2    Welsh, D.J.A.3
  • 13
    • 0008573894 scopus 로고
    • Hard enumeration problems in geometry and combinatorics
    • Linial, N. (1986) Hard enumeration problems in geometry and combinatorics. SIAM J. Alg. Disc. Meth. 1 331-335.
    • (1986) SIAM J. Alg. Disc. Meth. , vol.1 , pp. 331-335
    • Linial, N.1
  • 14
    • 0032262138 scopus 로고    scopus 로고
    • Evaluating the Tutte polynomial for graphs of bounded tree-width
    • Noble, S. D. (1998) Evaluating the Tutte polynomial for graphs of bounded tree-width. Combin. Probab. Comput. 7 307-321.
    • (1998) Combin. Probab. Comput. , vol.7 , pp. 307-321
    • Noble, S.D.1
  • 15
    • 0001814458 scopus 로고
    • Graph minors: A survey
    • Surveys in Combinatorics 1985; Glasgow, 1985 (I. Andersen, ed.), Cambridge University Press, Cambridge
    • Robertson, N. and Seymour, P. D. (1985) Graph minors: a survey. In Surveys in Combinatorics 1985; Glasgow, 1985 (I. Andersen, ed.), Vol. 103 of London Math. Soc. Lecture Notes, Cambridge University Press, Cambridge, pp. 153-171.
    • (1985) London Math. Soc. Lecture Notes , vol.103 , pp. 153-171
    • Robertson, N.1    Seymour, P.D.2
  • 16
    • 0035961996 scopus 로고    scopus 로고
    • Chromatic polynomials and their zeros and asymptotic limits for families of graphs
    • Shrock, R. (2001) Chromatic polynomials and their zeros and asymptotic limits for families of graphs. Discrete Math. 231 421-446.
    • (2001) Discrete Math. , vol.231 , pp. 421-446
    • Shrock, R.1
  • 17
    • 0023366861 scopus 로고
    • On embedding a graph in the grid with the minimum number of bends
    • Tamassia, R. (1987) On embedding a graph in the grid with the minimum number of bends. SIAM J. Comput. 16 421-444.
    • (1987) SIAM J. Comput. , vol.16 , pp. 421-444
    • Tamassia, R.1
  • 18
    • 33645682513 scopus 로고
    • The computational complexity of Tutte invariants (abstract)
    • (19-23 November 1990), Zentrum für Interdisziplinäre Forschung, Universität Bielefeld
    • Vertigan, D. L. (1990) The computational complexity of Tutte invariants (abstract).In Kolloquium über Kombinatorik (19-23 November 1990), Zentrum für Interdisziplinäre Forschung, Universität Bielefeld, p. 124.
    • (1990) Kolloquium Über Kombinatorik , pp. 124
    • Vertigan, D.L.1
  • 19
    • 84971698102 scopus 로고
    • The computational complexity of the Tutte plane: The bipartite case
    • Vertigan, D. L. and Welsh, D. J. A. (1992) The computational complexity of the Tutte plane: the bipartite case. Combin. Probab. Comput. 1 181-187.
    • (1992) Combin. Probab. Comput. , vol.1 , pp. 181-187
    • Vertigan, D.L.1    Welsh, D.J.A.2
  • 20
    • 0003395274 scopus 로고
    • Complexity: Knots, Colourings and Counting, Cambridge University Press
    • Welsh, D. J. A. (1993) Complexity: Knots, Colourings and Counting, Vol. 186 of London Math. Soc. Lecture Notes, Cambridge University Press.
    • (1993) London Math. Soc. Lecture Notes , vol.186
    • Welsh, D.J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.