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Volumn 101, Issue 1-3, 2000, Pages 77-114

Upper bounds to the clique width of graphs

Author keywords

Algorithms; Hierarchical graph decompositions; Modular decomposition; Monadic second order logic; Tree decompositions

Indexed keywords


EID: 0002015577     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(99)00184-5     Document Type: Article
Times cited : (647)

References (26)
  • 1
    • 0000504885 scopus 로고
    • Easy problems for tree-decomposable graphs
    • Arnborg S., Lagergren J., Seese D. Easy problems for tree-decomposable graphs. J. Algorithms. 12:1991;308-340.
    • (1991) J. Algorithms , vol.12 , pp. 308-340
    • Arnborg, S.1    Lagergren, J.2    Seese, D.3
  • 3
    • 0022162058 scopus 로고
    • A linear recognition algorithm for cographs
    • Corneil D.G., Perl Y., Stewart L.K. A linear recognition algorithm for cographs. SIAM J. Comput. 14:1985;926-934.
    • (1985) SIAM J. Comput. , vol.14 , pp. 926-934
    • Corneil, D.G.1    Perl, Y.2    Stewart, L.K.3
  • 4
    • 0000090439 scopus 로고    scopus 로고
    • The expression of graph properties and graph transformations in monadic second-order logic
    • in: G. Rozenberg (Ed.), World Scientific, New Jersey
    • B. Courcelle, The expression of graph properties and graph transformations in monadic second-order logic, in: G. Rozenberg (Ed.), Handbook of Graph Grammars and Computing by Graph Transformations, World Scientific, New Jersey, 1997, pp. 313-400.
    • (1997) Handbook of Graph Grammars and Computing by Graph Transformations , pp. 313-400
    • Courcelle, B.1
  • 5
    • 0023571040 scopus 로고
    • An axiomatic definition of context-free rewriting and its application to NLC graph grammars
    • Courcelle B. An axiomatic definition of context-free rewriting and its application to NLC graph grammars. Theoret. Comput. Sci. 55:1987;141-181.
    • (1987) Theoret. Comput. Sci. , vol.55 , pp. 141-181
    • Courcelle, B.1
  • 6
    • 0025398865 scopus 로고
    • The monadic second-order logic of graphs I, Recognizable sets of finite graphs
    • Courcelle B. The monadic second-order logic of graphs I, Recognizable sets of finite graphs. Inform. and Comput. 85:1990;12-75.
    • (1990) Inform. and Comput. , vol.85 , pp. 12-75
    • Courcelle, B.1
  • 7
    • 0001587729 scopus 로고
    • He monadic second-order logic of graphs III, Tree-decompositions, minors and complexity issues
    • Courcelle B. he monadic second-order logic of graphs III, Tree-decompositions, minors and complexity issues. Inform. Théorique Appl. 26:1992;257-286.
    • (1992) Inform. Théorique Appl. , vol.26 , pp. 257-286
    • Courcelle, B.1
  • 8
    • 0026885661 scopus 로고
    • The monadic second order logic of graphs VII: Graphs as relational structures
    • Courcelle B. The monadic second order logic of graphs VII. Graphs as relational structures Theoret. Comput. Sci. 101:1992;3-33.
    • (1992) Theoret. Comput. Sci. , vol.101 , pp. 3-33
    • Courcelle, B.1
  • 9
    • 0001530073 scopus 로고
    • The monadic second order logic of graphs VIII: Orientations
    • Courcelle B. The monadic second order logic of graphs VIII. Orientations Ann. Pure Appl. Logic. 72:1995;103-143.
    • (1995) Ann. Pure Appl. Logic , vol.72 , pp. 103-143
    • Courcelle, B.1
  • 10
    • 0013363404 scopus 로고
    • Structural properties of context-free sets of graphs generated by vertex-replacement
    • Courcelle B. Structural properties of context-free sets of graphs generated by vertex-replacement. Inform. and Comput. 116:1995;275-293.
    • (1995) Inform. and Comput. , vol.116 , pp. 275-293
    • Courcelle, B.1
  • 11
    • 0030169923 scopus 로고    scopus 로고
    • The monadic second-order logic of graphs X: Linear orderings
    • Courcelle B. The monadic second-order logic of graphs X. linear orderings Theoret. Comput. Sci. 160:1996;87-143.
    • (1996) Theoret. Comput. Sci. , vol.160 , pp. 87-143
    • Courcelle, B.1
  • 12
    • 0000413488 scopus 로고
    • A logical characterization of hypergraph languages generated by hyperedge replacement grammars
    • Courcelle B., Engelfriet J. A logical characterization of hypergraph languages generated by hyperedge replacement grammars. Math. System Theory. 28:1995;515-552.
    • (1995) Math. System Theory , vol.28 , pp. 515-552
    • Courcelle, B.1    Engelfriet, J.2
  • 14
    • 24444481852 scopus 로고    scopus 로고
    • Linear-time solvable optimization problems on certain structured graphs
    • to appear
    • B. Courcelle, J. Makowsky, U. Rotics, Linear-time solvable optimization problems on certain structured graphs, Proceedings of WG'98, to appear.
    • Proceedings of wg'98
    • Courcelle, B.1    Makowsky, J.2    Rotics, U.3
  • 15
    • 0027553197 scopus 로고
    • Monadic second-order evaluations on tree-decomposable graphs
    • Courcelle B., Mosbah M. Monadic second-order evaluations on tree-decomposable graphs. Theoret. Comput. Sci. 109:1993;49-82.
    • (1993) Theoret. Comput. Sci. , vol.109 , pp. 49-82
    • Courcelle, B.1    Mosbah, M.2
  • 16
    • 0347255868 scopus 로고    scopus 로고
    • (an appendix to "Upper Bounds to the Clique-Width of Graphs"), or //http://www.cs.odu.edu/~olariu/cwd.html
    • B. Courcelle, S. Olariu, Some graph transformations that preserve clique width (an appendix to "Upper Bounds to the Clique-Width of Graphs"), http: // dept-info.labri.u-bordeaux.fr /~ courcell / ActSci.ht ml or // http: // www.cs.odu.edu /~ olariu / cwd.html.
    • Some Graph Transformations That Preserve Clique Width
    • Courcelle, B.1    Olariu, S.2
  • 17
    • 85010931132 scopus 로고
    • A new linear algorithm for modular decomposition
    • preprint 1995; preliminary version in Lecture Notes in Computer Science
    • A. Cournier, M. Habib, A new linear algorithm for modular decomposition, preprint 1995; preliminary version in Proceedings of CAAP'94, Lecture Notes in Computer Science, Vol. 787, 1994, pp. 68-84.
    • (1994) Proceedings of caap'94 , vol.787 , pp. 68-84
    • Cournier, A.1    Habib, M.2
  • 18
    • 0345994866 scopus 로고    scopus 로고
    • 2-structures, a framework for decomposition and transformation of graphs
    • in: G. Rozenberg (Ed.), World Scientific, New Jersey
    • A. Ehrenfeucht, T. Harju, G. Rozenberg, 2-structures, a framework for decomposition and transformation of graphs, in: G. Rozenberg (Ed.), Handbook of Graph Grammars and Computing by Graph Transformations, World Scientific, New Jersey, 1997, pp. 401-478.
    • (1997) Handbook of Graph Grammars and Computing by Graph Transformations , pp. 401-478
    • Ehrenfeucht, A.1    Harju, T.2    Rozenberg, G.3
  • 19
    • 84909938476 scopus 로고
    • A characterization of context-free NCE graph languages by monadic second-order logic on trees
    • in Lecture Notes in Computer Science
    • J. Engelfriet, A characterization of context-free NCE graph languages by monadic second-order logic on trees, in Fourth International Workshop on Graph Grammars and their Applications to Computer Science, Lecture Notes in Computer Science, Vol. 532, 1991, pp. 311-327.
    • (1991) Fourth International Workshop on Graph Grammars and Their Applications to Computer Science , vol.532 , pp. 311-327
    • Engelfriet, J.1
  • 21
    • 43949151861 scopus 로고
    • Efficient algorithms and partial k-trees
    • Hedetniemi S. Efficient algorithms and partial. k -trees Discrete Appl. Math. 54:1994;281-290.
    • (1994) Discrete Appl. Math. , vol.54 , pp. 281-290
    • Hedetniemi, S.1
  • 22
    • 0024302577 scopus 로고
    • Incremental modular decomposition
    • Muller J., Spinrad J. Incremental modular decomposition. J. ACM. 36:1989;1-19.
    • (1989) J. ACM , vol.36 , pp. 1-19
    • Muller, J.1    Spinrad, J.2
  • 23
    • 0002856269 scopus 로고
    • Graph minors V, Excluding a planar graph
    • Robertson N., Seymour P. Graph minors V, Excluding a planar graph. J. Combin. Theory (B). 41:1986;92-114.
    • (1986) J. Combin. Theory (B) , vol.41 , pp. 92-114
    • Robertson, N.1    Seymour, P.2
  • 24
    • 0001221225 scopus 로고
    • The structure of the models of decidable monadic theories of graphs
    • Seese D. The structure of the models of decidable monadic theories of graphs. Ann. Pure Appl. Logic. 53:1991;169-195.
    • (1991) Ann. Pure Appl. Logic , vol.53 , pp. 169-195
    • Seese, D.1
  • 26
    • 0039301943 scopus 로고
    • K-NLC graphs and polynomial algorithms
    • Wanke E. k-NLC graphs and polynomial algorithms. Discrete Appl. Math. 54:1994;251-266.
    • (1994) Discrete Appl. Math. , vol.54 , pp. 251-266
    • Wanke, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.