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Volumn 38, Issue 3, 2008, Pages 1012-1032

Finding branch-decompositions and rank-decompositions

Author keywords

Branch width; Clique width; Fixed parameter tractable algorithm; Graph; Matroid; Rank width

Indexed keywords

ALGORITHMS; GRAPH THEORY; MATRIX ALGEBRA;

EID: 55249112968     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/070685920     Document Type: Article
Times cited : (146)

References (24)
  • 1
    • 84896754098 scopus 로고    scopus 로고
    • Polynomial time recognition of clique-width ≤ 3 graphs (extended abstract)
    • LATIN 2000: Theoretical informatics, G. H. Gonnet, D. Panario, and A. Viola, eds, Springer, Berlin
    • D. G. CORNEIL, M. HABIB, J.-M. LANLIGNEL, B. A. REED, AND U. ROTICS, Polynomial time recognition of clique-width ≤ 3 graphs (extended abstract), in LATIN 2000: Theoretical informatics, G. H. Gonnet, D. Panario, and A. Viola, eds., Lecture Notes in Comput. Sci. 1776, Springer, Berlin, 2000, pp. 126-134.
    • (2000) Lecture Notes in Comput. Sci , vol.1776 , pp. 126-134
    • CORNEIL, D.G.1    HABIB, M.2    LANLIGNEL, J.-M.3    REED, B.A.4    ROTICS, U.5
  • 2
    • 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
  • 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. Syst., 33 (2000), pp. 125-150.
    • (2000) Theory Comput. Syst , 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
    • 33751429952 scopus 로고    scopus 로고
    • Vertex-minors, monadic second-order logic, and a conjecture by Seese
    • B. COURCELLE AND S. OUM, Vertex-minors, monadic second-order logic, and a conjecture by Seese, J. Combin. Theory Ser. B, 97 (2007), pp. 91-126.
    • (2007) J. Combin. Theory Ser. B , vol.97 , pp. 91-126
    • COURCELLE, B.1    OUM, S.2
  • 6
    • 84945303807 scopus 로고    scopus 로고
    • How to solve NP-hard graph problems on clique-width bounded graphs in polynomial time
    • Graph-Theoretic Concepts in Computer Science Boltenhagen, Springer, Berlin
    • W. ESPELAGE, P. GURSKI, AND E. WANKE, How to solve NP-hard graph problems on clique-width bounded graphs in polynomial time, in Graph-Theoretic Concepts in Computer Science (Boltenhagen, 2001), Lecture Notes in Comput. Sci. 2204, Springer, Berlin, 2001, pp. 117-128.
    • (2001) Lecture Notes in Comput. Sci , vol.2204 , pp. 117-128
    • ESPELAGE, W.1    GURSKI, P.2    WANKE, E.3
  • 9
    • 38049029854 scopus 로고    scopus 로고
    • Tangles, Tree-Decompositions, and Grids in Matroids
    • 04-5, School of Mathematical and Computing Sciences, Victoria University of Wellington, Wellington, New Zealand
    • J. F. GEELEN, A. M. H. GERARDS, AND G. WHITTLE, Tangles, Tree-Decompositions, and Grids in Matroids, Research report 04-5, School of Mathematical and Computing Sciences, Victoria University of Wellington, Wellington, New Zealand, 2004.
    • (2004) Research report
    • GEELEN, J.F.1    GERARDS, A.M.H.2    WHITTLE, G.3
  • 10
    • 0037453456 scopus 로고    scopus 로고
    • Algorithms for vertex-partitioning problems on graphs with fixed clique-width
    • M. U. GERBER AND D. KOBLER, Algorithms for vertex-partitioning problems on graphs with fixed clique-width, Theoret. Comput. Sci., 299 (2003), pp. 719-734.
    • (2003) Theoret. Comput. Sci , vol.299 , pp. 719-734
    • GERBER, M.U.1    KOBLER, D.2
  • 11
    • 34447316703 scopus 로고    scopus 로고
    • The branchwidth of graphs and their cycle matroids
    • I. V. HICKS AND N. B. MCMURRAY, JR., The branchwidth of graphs and their cycle matroids. J. Combin. Theory Ser. B, 97 (2007), pp. 681-692.
    • (2007) J. Combin. Theory Ser. B , vol.97 , pp. 681-692
    • HICKS, I.V.1    MCMURRAY JR., N.B.2
  • 13
    • 32144446394 scopus 로고    scopus 로고
    • A parametrized algorithm for matroid branch-width
    • P. HLINĚNÝ, A parametrized algorithm for matroid branch-width, SIAM J. Comput., 35 (2005), pp. 259-277.
    • (2005) SIAM J. Comput , vol.35 , pp. 259-277
    • HLINĚNÝ, P.1
  • 14
    • 33645920646 scopus 로고    scopus 로고
    • Branch-width, parse trees, and monadic second-order logic for matroids
    • P. HLINĚNÝ, Branch-width, parse trees, and monadic second-order logic for matroids, J. Combin. Theory Ser. B, 96 (2006), pp. 325-351.
    • (2006) J. Combin. Theory Ser. B , vol.96 , pp. 325-351
    • HLINĚNÝ, P.1
  • 15
    • 84867942957 scopus 로고    scopus 로고
    • Edge dominating set and colorings on graphs with fixed clique-width
    • D. KOBLER AND U. ROTICS, Edge dominating set and colorings on graphs with fixed clique-width, Discrete Appl. Math., 126 (2003), pp. 197-221.
    • (2003) Discrete Appl. Math , vol.126 , pp. 197-221
    • KOBLER, D.1    ROTICS, U.2
  • 16
    • 55249119272 scopus 로고    scopus 로고
    • F. MAZOIT AND S. THOMASSÉ, Branchwidth of graphic matroids, in Surveys in Combinatorics, London Math. Soc. Lecture Note Ser. 346, Cambridge University Press, Cambridge, 2007, pp. 275-286.
    • F. MAZOIT AND S. THOMASSÉ, Branchwidth of graphic matroids, in Surveys in Combinatorics, London Math. Soc. Lecture Note Ser. 346, Cambridge University Press, Cambridge, 2007, pp. 275-286.
  • 17
    • 23244468510 scopus 로고    scopus 로고
    • Rank-width and vertex-minors
    • S. OUM, Rank-width and vertex-minors, J. Combin. Theory Ser. B, 95 (2005), pp. 79-100.
    • (2005) J. Combin. Theory Ser. B , vol.95 , pp. 79-100
    • OUM, S.1
  • 18
    • 55249090640 scopus 로고    scopus 로고
    • Approximating rank-width and clique-width quickly
    • submitted
    • S. OUM, Approximating rank-width and clique-width quickly, submitted, 2006.
    • (2006)
    • OUM, S.1
  • 19
    • 32544455938 scopus 로고    scopus 로고
    • Approximating clique-width and branch-width
    • S. OUM AND P. SEYMOUR, Approximating clique-width and branch-width, J. Combin. Theory Ser. B, 96 (2006), pp. 514-528.
    • (2006) J. Combin. Theory Ser. B , vol.96 , pp. 514-528
    • OUM, S.1    SEYMOUR, P.2
  • 21
    • 0004061262 scopus 로고
    • Oxford University Press, New York
    • J. G. OXLEY, Matroid Theory, Oxford University Press, New York, 1992.
    • (1992) Matroid Theory
    • OXLEY, J.G.1
  • 23
    • 0038521887 scopus 로고
    • Call routing and the ratcatcher
    • P. SEYMOUR AND R. THOMAS, Call routing and the ratcatcher, Combinatorica, 14 (1994), pp. 217-241.
    • (1994) Combinatorica , vol.14 , pp. 217-241
    • SEYMOUR, P.1    THOMAS, R.2
  • 24
    • 0039301943 scopus 로고
    • κ-NLC graphs and polynomial algorithms. Efficient algorithms and partial κ-trees
    • F. WANKE, κ-NLC graphs and polynomial algorithms. Efficient algorithms and partial κ-trees, Discrete Appl. Math., 54 (1994), pp. 251-266.
    • (1994) Discrete Appl. Math , vol.54 , pp. 251-266
    • WANKE, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.