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Volumn 283, Issue 1-3, 2004, Pages 151-158

Chordal bipartite graphs of bounded tree- and clique-width

Author keywords

Bipartite graph; Chordal graph; Clique width; Forbidden induced subgraph; Tree width

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; LINEAR PROGRAMMING; POLYNOMIALS; PROBLEM SOLVING; SET THEORY;

EID: 2442659456     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disc.2004.02.008     Document Type: Article
Times cited : (29)

References (32)
  • 1
    • 0347304294 scopus 로고    scopus 로고
    • Biconvex graphs: Ordering and algorithms
    • Abbas N., Stewart L.K. Biconvex graphs. ordering and algorithms Discrete Appl. Math. 103:2000;1-19.
    • (2000) Discrete Appl. Math. , vol.103 , pp. 1-19
    • Abbas, N.1    Stewart, L.K.2
  • 2
    • 0037953307 scopus 로고    scopus 로고
    • A polynomial algorithm for finding the largest independent sets in fork-free graphs
    • (in Russian)
    • Alekseev V.E. A polynomial algorithm for finding the largest independent sets in fork-free graphs. Discrete Anal. Oper. Res. Ser. 1. 6:1999;3-19. (in Russian).
    • (1999) Discrete Anal. Oper. Res. Ser. 1 , vol.6 , pp. 3-19
    • Alekseev, V.E.1
  • 3
    • 0037555040 scopus 로고
    • Characterizations of totally balanced matrices
    • Anstee R.P., Farber M. Characterizations of totally balanced matrices. J. Algorithms. 5:1984;215-230.
    • (1984) J. Algorithms , vol.5 , pp. 215-230
    • Anstee, R.P.1    Farber, M.2
  • 5
    • 0001294529 scopus 로고    scopus 로고
    • A linear-time algorithm for finding tree-decompositions of small treewidth
    • Bodlaender H.L. A linear-time algorithm for finding tree-decompositions of small treewidth. SIAM J. Comput. 25:1996;1305-1317.
    • (1996) SIAM J. Comput. , vol.25 , pp. 1305-1317
    • Bodlaender, H.L.1
  • 6
    • 84878661172 scopus 로고    scopus 로고
    • On the clique-width of graphs in hereditary classes
    • Springer, New York
    • R. Boliac, V.V. Lozin, On the Clique-width of Graphs in Hereditary Classes, Lecture Notes in Computer Science, Vol. 2518, Springer, New York, 2002, pp. 44-54.
    • (2002) Lecture Notes in Computer Science , vol.2518 , pp. 44-54
    • Boliac, R.1    Lozin, V.V.2
  • 7
    • 0038371407 scopus 로고    scopus 로고
    • Independent domination in finitely defined classes of graphs
    • Boliac R., Lozin V.V. Independent domination in finitely defined classes of graphs. Theoret. Comput. Sci. 301:2003;271-284.
    • (2003) Theoret. Comput. Sci. , vol.301 , pp. 271-284
    • Boliac, R.1    Lozin, V.V.2
  • 8
    • 14944372320 scopus 로고    scopus 로고
    • On the linear structure and clique-width of bipartite permutation graphs
    • Brandstädt A., Lozin V.V. On the linear structure and clique-width of bipartite permutation graphs. Ars Combin. 67:2003;273-281.
    • (2003) Ars Combin. , vol.67 , pp. 273-281
    • Brandstädt, A.1    Lozin, V.V.2
  • 9
    • 0001587729 scopus 로고
    • The monadic second-order logic of graphs. III. Tree-decompositions, minors and complexity issues
    • Courcelle B. The monadic second-order logic of graphs. III. Tree-decompositions, minors and complexity issues. RAIRO Inform. Théor. Appl. 26:1992;257-286.
    • (1992) RAIRO Inform. Théor. Appl. , vol.26 , pp. 257-286
    • Courcelle, B.1
  • 11
    • 0034399867 scopus 로고    scopus 로고
    • Linear time solvable optimization problems on graphs of bounded clique-width
    • Courcelle B., Makowsky J.A., Rotics U. Linear time solvable optimization problems on graphs of bounded clique-width. Theory Comput. Systems. 33:2000;125-150.
    • (2000) Theory Comput. Systems , vol.33 , pp. 125-150
    • Courcelle, B.1    Makowsky, J.A.2    Rotics, U.3
  • 12
    • 0001780070 scopus 로고    scopus 로고
    • On the fixed parameter complexity of graph enumeration problems definable in monadic second-order logic
    • Courcelle B., Makowsky J.A., Rotics U. On the fixed parameter complexity of graph enumeration problems definable in monadic second-order logic. Discrete Appl. Math. 108:2001;23-52.
    • (2001) Discrete Appl. Math. , vol.108 , pp. 23-52
    • Courcelle, B.1    Makowsky, J.A.2    Rotics, U.3
  • 13
    • 0002015577 scopus 로고    scopus 로고
    • Upper bounds to the clique width of graphs
    • Courcelle B., Olariu S. Upper bounds to the clique width of graphs. Discrete Appl. Math. 101:2000;77-114.
    • (2000) Discrete Appl. Math. , vol.101 , pp. 77-114
    • Courcelle, B.1    Olariu, S.2
  • 17
    • 0010106197 scopus 로고
    • Perfect elimination and chordal bipartite graphs
    • Golumbic M.C., Goss C.F. Perfect elimination and chordal bipartite graphs. J. Graph Theory. 2:1978;155-163.
    • (1978) J. Graph Theory , vol.2 , pp. 155-163
    • Golumbic, M.C.1    Goss, C.F.2
  • 20
    • 0001162493 scopus 로고
    • Treewidth of chordal bipartite graphs
    • Kloks T., Kratsch D. Treewidth of chordal bipartite graphs. J. Algorithms. 19:1995;266-281.
    • (1995) J. Algorithms , vol.19 , pp. 266-281
    • Kloks, T.1    Kratsch, D.2
  • 22
    • 23044518575 scopus 로고    scopus 로고
    • On a Generalization of bi-complement reducible graphs
    • Springer, New York
    • V.V. Lozin, On a Generalization of Bi-complement Reducible Graphs, Lecture Notes in Computer Science, Vol. 1893, Springer, New York, 2000, pp. 528-538.
    • (2000) Lecture Notes in Computer Science , vol.1893 , pp. 528-538
    • Lozin, V.V.1
  • 23
    • 31244437903 scopus 로고    scopus 로고
    • Bipartite graphs without a skew star
    • Lozin V.V. Bipartite graphs without a skew star. Discrete Math. 257:2002;83-100.
    • (2002) Discrete Math. , vol.257 , pp. 83-100
    • Lozin, V.V.1
  • 24
    • 0042226618 scopus 로고    scopus 로고
    • On the jump number problem in hereditary classes of bipartite graphs
    • Lozin V.V., Gerber M.U. On the jump number problem in hereditary classes of bipartite graphs. Order. 17:2000;377-385.
    • (2000) Order , vol.17 , pp. 377-385
    • Lozin, V.V.1    Gerber, M.U.2
  • 26
    • 0043106179 scopus 로고
    • Alternating cycle-free matching
    • Müller H. Alternating cycle-free matching. Order. 7:1990;11-21.
    • (1990) Order , vol.7 , pp. 11-21
    • Müller, H.1
  • 27
    • 0042133278 scopus 로고    scopus 로고
    • Hamiltonian circuits in chordal bipartite graphs
    • Müller H. Hamiltonian circuits in chordal bipartite graphs. Discrete Math. 156:1996;291-298.
    • (1996) Discrete Math. , vol.156 , pp. 291-298
    • Müller, H.1
  • 28
    • 0023598723 scopus 로고
    • The NP-completeness of steiner tree and dominating set for chordal bipartite graphs
    • Müller H., Brandstädt A. The NP-completeness of steiner tree and dominating set for chordal bipartite graphs. Theoret. Comput. Sci. 53:1987;257-265.
    • (1987) Theoret. Comput. Sci. , vol.53 , pp. 257-265
    • Müller, H.1    Brandstädt, A.2
  • 29
    • 0003164676 scopus 로고    scopus 로고
    • Tree width and tangles: A new connectivity measure and some applications
    • Cambridge University Press, Cambridge
    • B. Reed, Tree width and tangles: a new connectivity measure and some applications, in: London Mathematical Society Lecture Note Series, Vol. 241, Cambridge University Press, Cambridge, 1997, pp. 87-162.
    • (1997) London Mathematical Society Lecture Note Series , vol.241 , pp. 87-162
    • Reed, B.1
  • 31
    • 0041316059 scopus 로고
    • Nonredundant 1's in Γ -free matrices
    • Spinrad J. Nonredundant 1's in. Γ -free matrices SIAM J. Discrete Math. 8:1995;251-257.
    • (1995) SIAM J. Discrete Math. , vol.8 , pp. 251-257
    • Spinrad, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.