메뉴 건너뛰기




Volumn 95, Issue 1, 2005, Pages 79-100

Rank-width and vertex-minors

Author keywords

Binary matroid; Branch width; Clique width; Local complementation; Pivoting; Rank width; Vertex minor

Indexed keywords


EID: 23244468510     PISSN: 00958956     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jctb.2005.03.003     Document Type: Article
Times cited : (243)

References (26)
  • 3
    • 0040543016 scopus 로고
    • Isotropic systems
    • A. Bouchet Isotropic systems European J. Combin. 8 3 1987 231-244
    • (1987) European J. Combin. , vol.8 , Issue.3 , pp. 231-244
    • Bouchet, A.1
  • 4
    • 84986440371 scopus 로고
    • Transforming trees by successive local complementations
    • A. Bouchet Transforming trees by successive local complementations J. Graph Theory 12 2 1988 195-207
    • (1988) J. Graph Theory , vol.12 , Issue.2 , pp. 195-207
    • Bouchet, A.1
  • 5
    • 38149145200 scopus 로고
    • Circle graph obstructions
    • A. Bouchet Circle graph obstructions J. Combin. Theory Ser. B 60 1 1994 107-144
    • (1994) J. Combin. Theory Ser. B , vol.60 , Issue.1 , pp. 107-144
    • Bouchet, A.1
  • 6
    • 84896754098 scopus 로고    scopus 로고
    • Polynomial time recognition of clique-width ≤ 3 graphs
    • (extended abstract), G. Gonnet, D. Panario, A. Viola (Eds.) LATIN 2000: Theoretical Informatics. Fourth Latin American Symposium, Punta del Este, Uruguay, April 10-14, 2000 Springer, Berlin
    • D.G. Corneil, M. Habib, J.-M. Lanlignel, B. Reed, U. Rotics, Polynomial time recognition of clique-width ≤ 3 graphs (extended abstract), in: G. Gonnet, D. Panario, A. Viola (Eds.) LATIN 2000: Theoretical Informatics. Fourth Latin American Symposium, Punta del Este, Uruguay, April 10-14, 2000, Lecture Notes in Computer Science, vol. 1776, Springer, Berlin, 2000, pp. 126-134.
    • (2000) Lecture Notes in Computer Science , vol.1776 , pp. 126-134
    • Corneil, D.G.1    Habib, M.2    Lanlignel, J.-M.3    Reed, B.4    Rotics, U.5
  • 7
    • 0002015577 scopus 로고    scopus 로고
    • Upper bounds to the clique width of graphs
    • B. Courcelle S. Olariu Upper bounds to the clique width of graphs Discrete Appl. Math. 101 1-3 2000 77-114
    • (2000) Discrete Appl. Math. , vol.101 , Issue.1-3 , pp. 77-114
    • Courcelle, B.1    Olariu, S.2
  • 8
    • 23244467841 scopus 로고    scopus 로고
    • Vertex-minors, monadic second-order logic, and a conjecture by Sesse
    • submitted for publication
    • B. Courcelle, S. Oum, Vertex-minors, monadic second-order logic, and a conjecture by Sesse, 2004, submitted for publication.
    • (2004)
    • Courcelle, B.1    Oum, S.2
  • 10
    • 0036211275 scopus 로고    scopus 로고
    • Branch-width and well-quasi-ordering in matroids and graphs
    • J.F. Geelen A.M.H. Gerards G. Whittle Branch-width and well-quasi-ordering in matroids and graphs J. Combin. Theory Ser. B 84 2 2002 270-290
    • (2002) J. Combin. Theory Ser. B , vol.84 , Issue.2 , pp. 270-290
    • Geelen, J.F.1    Gerards, A.M.H.2    Whittle, G.3
  • 11
    • 23244439890 scopus 로고    scopus 로고
    • Excluding a planar graph from GF (q)-representable matroids
    • manuscript
    • J.F. Geelen, A.M.H. Gerards, G. Whittle, Excluding a planar graph from GF (q)-representable matroids, manuscript, 2003.
    • (2003)
    • Geelen, J.F.1    Gerards, A.M.H.2    Whittle, G.3
  • 12
    • 23244447336 scopus 로고    scopus 로고
    • Word and set complementation of graphs, invertible graphs
    • submitted for publication
    • F. Genest, Word and set complementation of graphs, invertible graphs, 2005, submitted for publication.
    • (2005)
    • Genest, F.1
  • 13
    • 0037874823 scopus 로고    scopus 로고
    • On the clique-width of some perfect graph classes
    • M.C. Golumbic, U. Rotics, On the clique-width of some perfect graph classes, Internat. J. Found. Comput. Sci. 11 (3) (2000) 423-443.
    • (2000) Internat. J. Found. Comput. Sci. , vol.11 , Issue.3 , pp. 423-443
    • Golumbic, M.C.1    Rotics, U.2
  • 14
    • 0000335630 scopus 로고    scopus 로고
    • A combinatorial strongly polynomial algorithm for minimizing submodular functions
    • S. Iwata L. Fleischer S. Fujishige A combinatorial strongly polynomial algorithm for minimizing submodular functions J. ACM (JACM) 48 4 2001 761-777
    • (2001) J. ACM (JACM) , vol.48 , Issue.4 , pp. 761-777
    • Iwata, S.1    Fleischer, L.2    Fujishige, S.3
  • 15
    • 0005458397 scopus 로고    scopus 로고
    • Matrices and matroids for systems analysis
    • Springer, Berlin
    • K. Murota, Matrices and matroids for systems analysis, Algorithms and Combinatorics, vol. 20, Springer, Berlin, 2000.
    • (2000) Algorithms and Combinatorics , vol.20
    • Murota, K.1
  • 16
    • 23244464528 scopus 로고    scopus 로고
    • Approximating clique-width and branch-width
    • submitted for publication
    • S. Oum, P. Seymour, Approximating clique-width and branch-width, 2004, submitted for publication.
    • (2004)
    • Oum, S.1    Seymour, P.2
  • 17
    • 23244444741 scopus 로고    scopus 로고
    • Rank-width and well-quasi-ordering
    • manuscript
    • S. Oum, Rank-width and well-quasi-ordering, manuscript, 2004.
    • (2004)
    • Oum, S.1
  • 18
    • 23244446082 scopus 로고    scopus 로고
    • Approximating rank-width and clique-width quickly
    • submitted for publication
    • S. Oum, Approximating rank-width and clique-width quickly, 2005, submitted for publication.
    • (2005)
    • Oum, S.1
  • 19
    • 0004061262 scopus 로고
    • Oxford University Press, New York
    • J.G. Oxley Matroid theory 1992 Oxford University Press, New York
    • (1992) Matroid Theory
    • Oxley, J.G.1
  • 20
    • 0002856269 scopus 로고
    • Graph minors. V. Excluding a planar graph
    • N. Robertson P. Seymour Graph minors. V. Excluding a planar graph J. Combin. Theory Ser. B 41 1 1986 92-114
    • (1986) J. Combin. Theory Ser. B , vol.41 , Issue.1 , pp. 92-114
    • Robertson, N.1    Seymour, P.2
  • 21
    • 3042806238 scopus 로고
    • Graph minors. IV. Tree-width and well-quasi-ordering
    • N. Robertson P. Seymour Graph minors. IV. Tree-width and well-quasi-ordering J. Combin. Theory Ser. B 48 2 1990 227-254
    • (1990) J. Combin. Theory Ser. B , vol.48 , Issue.2 , pp. 227-254
    • Robertson, N.1    Seymour, P.2
  • 22
    • 0001227241 scopus 로고
    • Graph minors. X. Obstructions to tree-decomposition
    • N. Robertson P. Seymour Graph minors. X. Obstructions to tree-decomposition J. Combin. Theory Ser. B 52 2 1991 153-190
    • (1991) J. Combin. Theory Ser. B , vol.52 , Issue.2 , pp. 153-190
    • Robertson, N.1    Seymour, P.2
  • 24
    • 23244445671 scopus 로고
    • A decomposition theory for matroids. I. General results
    • K. Truemper A decomposition theory for matroids. I. General results J. Combin. Theory Ser. B 39 1 1985 43-76
    • (1985) J. Combin. Theory Ser. B , vol.39 , Issue.1 , pp. 43-76
    • Truemper, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.