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Volumn 4271 LNCS, Issue , 2006, Pages 191-204

Computing graph polynomials on graphs of bounded clique-width

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTER SCIENCE; GRAPH THEORY;

EID: 33845543520     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11917496_18     Document Type: Conference Paper
Times cited : (41)

References (39)
  • 3
    • 16244381723 scopus 로고    scopus 로고
    • A two-variable interlace polynomial
    • [ABS04b], 24.4
    • [ABS04b] R. Arratia, B. Bollobas, and G.B. Sorkin. A two-variable interlace polynomial. Combinatorica, 24.4:567-584, 2004.
    • (2004) Combinatorica , pp. 567-584
    • Arratia, R.1    Bollobas, B.2    Sorkin, G.B.3
  • 5
    • 0001919985 scopus 로고    scopus 로고
    • An algorithm for the Tutte polynomials of graphs of bounded treewidth
    • [And98]
    • [And98] A. Andrzejak. An algorithm for the Tutte polynomials of graphs of bounded treewidth. Discrete Mathematics, 190:39-54, 1998.
    • (1998) Discrete Mathematics , vol.190 , pp. 39-54
    • Andrzejak, A.1
  • 10
    • 0002741878 scopus 로고
    • A determinant formula for the number of ways of coloring a map
    • [Bir12]
    • [Bir12] G.D. Birkhoff. A determinant formula for the number of ways of coloring a map. Annals of Mathematics, 14:42-46, 1912.
    • (1912) Annals of Mathematics , vol.14 , pp. 42-46
    • Birkhoff, G.D.1
  • 14
    • 0001780070 scopus 로고    scopus 로고
    • On the fixed parameter complexity of graph enumeration problems definable in monadic second order logic
    • [CMR01]
    • [CMR01] B. Courcelle, J.A. Makowsky, and U. Rotics. On the fixed parameter complexity of graph enumeration problems definable in monadic second order logic. Discrete Applied Mathematics, 108(1-2):23-52, 2001.
    • (2001) Discrete Applied Mathematics , vol.108 , Issue.1-2 , pp. 23-52
    • Courcelle, B.1    Makowsky, J.A.2    Rotics, U.3
  • 15
    • 0002015577 scopus 로고    scopus 로고
    • Upper bounds to the clique-width of graphs
    • [CO00]
    • [CO00] B. Courcelle and S. Olariu. Upper bounds to the clique-width of graphs. Discrete Applied Mathematics, 101:77-114, 2000.
    • (2000) Discrete Applied Mathematics , vol.101 , pp. 77-114
    • Courcelle, B.1    Olariu, S.2
  • 16
    • 33750057432 scopus 로고    scopus 로고
    • Vertex-minors, monadic second-order logic, and a conjecture by Seese
    • [CO06]
    • [CO06] B. Courcelle and S. Oum. Vertex-minors, monadic second-order logic, and a conjecture by Seese. Journal of Combinatorial Theory, Series B, xx:xx-xx, 2006.
    • (2006) Journal of Combinatorial Theory, Series B , vol.20
    • Courcelle, B.1    Oum, S.2
  • 17
    • 24344452559 scopus 로고    scopus 로고
    • On the relationship between clique-width and treewidth
    • [CR05]
    • [CR05] D. G. Corneil and U. Rotics. On the relationship between clique-width and treewidth. SIAM J. Comput., 34(4):825-847, 2005.
    • (2005) SIAM J. Comput. , vol.34 , Issue.4 , pp. 825-847
    • Corneil, D.G.1    Rotics, U.2
  • 19
    • 0003677229 scopus 로고    scopus 로고
    • [Die96] Graduate Texts in Mathematics. Springer
    • [Die96] R. Diestel. Graph Theory. Graduate Texts in Mathematics. Springer, 1996.
    • (1996) Graph Theory
    • Diestel, R.1
  • 22
    • 33845535848 scopus 로고    scopus 로고
    • Counting truth assignments of formulas of bounded tree width and clique-width
    • [FMR06]
    • [FMR06] E. Fischer, J.A. Makowsky, and E.V. Ravve. Counting truth assignments of formulas of bounded tree width and clique-width. Discrete Applied Mathematics, xx:xx-xx, 2006.
    • (2006) Discrete Applied Mathematics , vol.20
    • Fischer, E.1    Makowsky, J.A.2    Ravve, E.V.3
  • 24
    • 33744928911 scopus 로고    scopus 로고
    • Computing the Tutte polynomial on graphs of bounded clique-width
    • [GHN05]. Graph Theoretic Concepts in Computer Science, WG 2005
    • [GHN05] O. Giménez, P. Hliněný, and M. Noy. Computing the Tutte polynomial on graphs of bounded clique-width. In Graph Theoretic Concepts in Computer Science, WG 2005, volume 3787 of Lecture Notes in Computer Science, pages 59-68, 2005.
    • (2005) Lecture Notes in Computer Science , vol.3787 , pp. 59-68
    • Giménez, O.1    Hliněný, P.2    Noy, M.3
  • 25
    • 33845520473 scopus 로고    scopus 로고
    • Computing the Tutte polynomial on graphs of bounded clique-width
    • [GHN06]
    • [GHN06] O. Giménez, P. Hliněný, and M. Noy. Computing the Tutte polynomial on graphs of bounded clique-width. XXX, xx:xx-yy, 2006.
    • (2006) XXX , vol.20
    • Giménez, O.1    Hliněný, P.2    Noy, M.3
  • 26
    • 0003829617 scopus 로고    scopus 로고
    • [GR01]. Graduate Texts in Mathematics. Springer
    • [GR01] C. Godsil and G. Royle. Algebraic Graph Theory. Graduate Texts in Mathematics. Springer, 2001.
    • (2001) Algebraic Graph Theory
    • Godsil, C.1    Royle, G.2
  • 27
    • 84974224170 scopus 로고
    • On the computational complexity of the Jones and Tutte polynomials
    • [JVW90]
    • [JVW90] F. Jaeger, D.L. Vertigan, and D.J.A. Welsh. On the computational complexity of the Jones and Tutte polynomials. Math. Proc. Camb. Phil. Soc., 108:35-53, 1990.
    • (1990) Math. Proc. Camb. Phil. Soc. , vol.108 , pp. 35-53
    • Jaeger, F.1    Vertigan, D.L.2    Welsh, D.J.A.3
  • 28
    • 84867942957 scopus 로고    scopus 로고
    • Edge dominating set and colorings on graphs with fixed clique-width
    • [KR03]
    • [KR03] D. Kobler and U. Rotics. Edge dominating set and colorings on graphs with fixed clique-width. Discrete Applied Mathematics, 126:197-221, 2003.
    • (2003) Discrete Applied Mathematics , vol.126 , pp. 197-221
    • Kobler, D.1    Rotics, U.2
  • 30
    • 1642322895 scopus 로고    scopus 로고
    • Algorithmic uses of the Feferman-Vaught theorem
    • [Mak04]
    • [Mak04] J.A. Makowsky. Algorithmic uses of the Feferman-Vaught theorem. Annals of Pure and Applied Logic, 126:1-3, 2004.
    • (2004) Annals of Pure and Applied Logic , vol.126 , pp. 1-3
    • Makowsky, J.A.1
  • 31
    • 0032262138 scopus 로고    scopus 로고
    • Evaluating the Tutte polynomial for graphs of bounded tree-width
    • [Nob98]
    • [Nob98] S.D. Noble. Evaluating the Tutte polynomial for graphs of bounded tree-width. Combinatorics, Probability and Computing, 7:307-321, 1998.
    • (1998) Combinatorics, Probability and Computing , vol.7 , pp. 307-321
    • Noble, S.D.1
  • 33
    • 38249010667 scopus 로고
    • Tutte polynomials computable in polynomial time
    • [OW92]
    • [OW92] J.G. Oxley and D.J.A. Welsh. Tutte polynomials computable in polynomial time. Discrete Mathematics, 109:185-192, 1992.
    • (1992) Discrete Mathematics , vol.109 , pp. 185-192
    • Oxley, J.G.1    Welsh, D.J.A.2
  • 35
    • 0000192604 scopus 로고
    • Acyclic orientations of graphs
    • [Sta73]
    • [Sta73] R. P. Stanley. Acyclic orientations of graphs. Discrete Mathematics, 5:171-178, 1973.
    • (1973) Discrete Mathematics , vol.5 , pp. 171-178
    • Stanley, R.P.1
  • 37
    • 0000142982 scopus 로고
    • The complexity of enumeration and reliability problems
    • [Val79]
    • [Val79] L.G. Valiant. The complexity of enumeration and reliability problems. SIAM Journal on Computing, 8(3):410-421, 1979.
    • (1979) SIAM Journal on Computing , vol.8 , Issue.3 , pp. 410-421
    • Valiant, L.G.1
  • 38
    • 84971698102 scopus 로고
    • The computational complexity of the Tutte plane: The bipartite case
    • [VW92]
    • [VW92] D.L. Vertigan and D.J.A. Welsh. The computational complexity of the Tutte plane: The bipartite case. Combinatorics, Probability, and Computing, 1:181-187, 1992.
    • (1992) Combinatorics, Probability, and Computing , vol.1 , pp. 181-187
    • Vertigan, D.L.1    Welsh, D.J.A.2
  • 39
    • 22144480549 scopus 로고
    • [Wel93]. Complexity: Knots, Colourings and Counting. Cambridge University Press
    • [Wel93] D.J.A. Welsh. Complexity: Knots, Colourings and Counting, volume 186 of London Mathematical Society Lecture Notes Series. Cambridge University Press, 1993.
    • (1993) London Mathematical Society Lecture Notes Series , vol.186
    • Welsh, D.J.A.1


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