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Volumn 20, Issue 4, 2007, Pages 932-946

Computing the tutte polynomial on graphs of bounded clique-width

Author keywords

Clique width; Cographs; Subexponential algorithm; Tutte polynomial; U polynomial

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; GRAPH THEORY;

EID: 36249011403     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/050645208     Document Type: Article
Times cited : (22)

References (16)
  • 2
    • 0001919985 scopus 로고    scopus 로고
    • An algorithm for the Tutte polynomials of graphs of bounded treewidth
    • A. ANDRZEJAK, An algorithm for the Tutte polynomials of graphs of bounded treewidth, Discrete Math., 190 (1998), pp. 39-54.
    • (1998) Discrete Math , vol.190 , pp. 39-54
    • ANDRZEJAK, A.1
  • 3
    • 0034399867 scopus 로고    scopus 로고
    • Linear time solvable optimization problems on graphs of bounded clique-width
    • B. COURCELLE, J. A. MAKOWSKY, AND U. ROTICS, Linear time solvable optimization problems on graphs of bounded clique-width, Theory Comput. Systems, 33 (2000), pp. 125-150.
    • (2000) Theory Comput. Systems , vol.33 , pp. 125-150
    • COURCELLE, B.1    MAKOWSKY, J.A.2    ROTICS, U.3
  • 4
    • 0002015577 scopus 로고    scopus 로고
    • Upper bounds to the clique width of graphs
    • B. COURCELLE AND S. OLARIU, Upper bounds to the clique width of graphs, Discrete Appl. Math., 101 (2000), pp. 77-114.
    • (2000) Discrete Appl. Math , vol.101 , pp. 77-114
    • COURCELLE, B.1    OLARIU, S.2
  • 5
    • 0022162058 scopus 로고
    • A linear recognition algorithm for cographs
    • D. G. CORNEIL, Y. PERL, AND L. K. STEWART, A linear recognition algorithm for cographs, SIAM J. Comput., 14 (1985), pp. 926-934.
    • (1985) SIAM J. Comput , vol.14 , pp. 926-934
    • CORNEIL, D.G.1    PERL, Y.2    STEWART, L.K.3
  • 6
    • 33645657538 scopus 로고    scopus 로고
    • On the complexity of computing the Tutte polynomial of bicircular matroids
    • O. GIMÉNEZ AND M. NOY, On the complexity of computing the Tutte polynomial of bicircular matroids, Combin. Probab. Comput., 15 (2006), pp. 385-395.
    • (2006) Combin. Probab. Comput , vol.15 , pp. 385-395
    • GIMÉNEZ, O.1    NOY, M.2
  • 7
    • 32144446394 scopus 로고    scopus 로고
    • P. HLINĚNÝ, A parametrized algorithm for matroid branch-width, SIAM J. Comput., 35 (2005), pp. 259-277 (electronic).
    • P. HLINĚNÝ, A parametrized algorithm for matroid branch-width, SIAM J. Comput., 35 (2005), pp. 259-277 (electronic).
  • 8
    • 33645667803 scopus 로고    scopus 로고
    • The Tutte polynomial for matroids of bounded branch-width
    • P. HLINĚNÝ, The Tutte polynomial for matroids of bounded branch-width, Combin. Probab. Comput., 15 (2006), pp. 397-409.
    • (2006) Combin. Probab. Comput , vol.15 , pp. 397-409
    • HLINĚNÝ, P.1
  • 10
    • 84867942957 scopus 로고    scopus 로고
    • Edge dominating set and colorings on graphs with fixed cliquewidth
    • D. KOBLER AND U. ROTICS, Edge dominating set and colorings on graphs with fixed cliquewidth, Discrete Appl. Math., 126 (2003), pp. 197-221.
    • (2003) Discrete Appl. Math , vol.126 , pp. 197-221
    • KOBLER, D.1    ROTICS, U.2
  • 13
    • 0032262138 scopus 로고    scopus 로고
    • Evaluating the Tutte polynomial for graphs of bounded tree-width
    • S. D. NOBLE, Evaluating the Tutte polynomial for graphs of bounded tree-width, Combin. Probab. Comput., 7 (1998), pp. 307-321.
    • (1998) Combin. Probab. Comput , vol.7 , pp. 307-321
    • NOBLE, S.D.1
  • 14
    • 0040118794 scopus 로고    scopus 로고
    • A weighted graph polynomial from chromatic invariants of knots
    • S. D. NOBLE AND D. J. A. WELSH, A weighted graph polynomial from chromatic invariants of knots, Ann. Inst. Fourier (Grenoble), 49 (1999), pp. 1057-1087.
    • (1999) Ann. Inst. Fourier (Grenoble) , vol.49 , pp. 1057-1087
    • NOBLE, S.D.1    WELSH, D.J.A.2
  • 15
    • 33744946823 scopus 로고    scopus 로고
    • Approximating rank-width and clique-width quickly
    • Springer, Berlin
    • S.-I. OUM, Approximating rank-width and clique-width quickly, in Lecture Notes in Comput. Sci. 3787, Springer, Berlin, 2005, pp. 49-58.
    • (2005) Lecture Notes in Comput. Sci , vol.3787 , pp. 49-58
    • OUM, S.-I.1
  • 16
    • 32544455938 scopus 로고    scopus 로고
    • Approximating clique-width and brunch-width
    • S.-I. OUM AND P. D. SEYMOUR, Approximating clique-width and brunch-width, J. Combin. Theory Ser. B, 96 (2006), pp. 514-528.
    • (2006) J. Combin. Theory Ser. B , vol.96 , pp. 514-528
    • OUM, S.-I.1    SEYMOUR, P.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.