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Volumn 87, Issue 4, 2003, Pages 195-200

A spectral lower bound for the treewidth of a graph and its consequences

Author keywords

Chordless cycle; Combinatorial problems; Eigenvalue; Graph minor; Hypercube; Laplacian matrix; Treewidth

Indexed keywords

COMBINATORIAL MATHEMATICS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; TREES (MATHEMATICS);

EID: 0042671272     PISSN: 00200190     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-0190(03)00286-2     Document Type: Article
Times cited : (19)

References (21)
  • 1
    • 51249173340 scopus 로고
    • Eigen values and expanders
    • Alon N. Eigen values and expanders. Combinatorica. 6:1986;83-96.
    • (1986) Combinatorica , vol.6 , pp. 83-96
    • Alon, N.1
  • 2
    • 33750994100 scopus 로고
    • 1, isoperimetric inequalities for graphs and super concentrators
    • 1, isoperimetric inequalities for graphs and super concentrators. J. Combin. Theory, Ser. B. 38:1985;73-88.
    • (1985) J. Combin. Theory, Ser. B , vol.38 , pp. 73-88
    • Alon, N.1    Millman, V.D.2
  • 4
    • 0021787868 scopus 로고
    • Efficient algorithms for combinatorial problems on graphs with bounded decomposability - A survey
    • Arnborg S. Efficient algorithms for combinatorial problems on graphs with bounded decomposability - a survey. BIT. 25:1985;2-23.
    • (1985) BIT , vol.25 , pp. 2-23
    • Arnborg, S.1
  • 5
    • 0002003951 scopus 로고
    • Linear time algorithms for NP-hard problems on graphs embedded in k -trees
    • Arnborg S., Proskurowski A. Linear time algorithms for NP-hard problems on graphs embedded in k -trees. Discrete Appl. Math. 23:1989;11-24.
    • (1989) Discrete Appl. Math. , vol.23 , pp. 11-24
    • Arnborg, S.1    Proskurowski, A.2
  • 6
    • 0004242420 scopus 로고
    • Cambridge: Cambridge University Press
    • Biggs N. Algebraic Graph Theory. 1993;Cambridge University Press, Cambridge.
    • (1993) Algebraic Graph Theory
    • Biggs, N.1
  • 7
    • 85037918238 scopus 로고
    • A tourist guide through treewidth
    • Bodlaender H.L. A tourist guide through treewidth. Acta Cybernet. 11:1993;1-21.
    • (1993) Acta Cybernet. , vol.11 , pp. 1-21
    • Bodlaender, H.L.1
  • 8
    • 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
  • 9
    • 0032320906 scopus 로고    scopus 로고
    • Parallel algorithms with optimal speedup for bounded treewidth
    • Bodlaender H.L., Hagerup T. Parallel algorithms with optimal speedup for bounded treewidth. SIAM J. Comput. 27:1998;1725-1746.
    • (1998) SIAM J. Comput. , vol.27 , pp. 1725-1746
    • Bodlaender, H.L.1    Hagerup, T.2
  • 11
    • 0001775236 scopus 로고
    • Basic graph theory: Paths and circuits
    • R. Graham, M. Grotschel, L. Lovasz (Eds.), Cambridge, MA: MIT Press
    • Bondy J.A. Basic graph theory: Paths and circuits. Graham R., Grotschel M., Lovasz L. Handbook of Combinatorics, Vol. 1. 1995;MIT Press, Cambridge, MA.
    • (1995) Handbook of Combinatorics , vol.1
    • Bondy, J.A.1
  • 13
    • 0041620190 scopus 로고
    • On the tree-width of a graph
    • Chlebikova J. On the tree-width of a graph. Acta Math. Univ. Comen. 61:1992;225-236.
    • (1992) Acta Math. Univ. Comen. , vol.61 , pp. 225-236
    • Chlebikova, J.1
  • 14
    • 0001350119 scopus 로고
    • The algebraic connectivity of graphs
    • Fiedler M. The algebraic connectivity of graphs. Czech. Math. J. 23:1973;298-305.
    • (1973) Czech. Math. J. , vol.23 , pp. 298-305
    • Fiedler, M.1
  • 17
    • 0002427040 scopus 로고
    • Eigen values, diameter, and mean distance in graphs
    • Mohar B. Eigen values, diameter, and mean distance in graphs. Graphs Combin. 7:1991;53-64.
    • (1991) Graphs Combin. , vol.7 , pp. 53-64
    • Mohar, B.1
  • 19
    • 0000673493 scopus 로고
    • Graph minors. II: Algorithmic aspects of tree-width
    • Robertson N., Seymour P.D. Graph minors. II: Algorithmic aspects of tree-width. J. Algorithms. 7:1986;309-322.
    • (1986) J. Algorithms , vol.7 , pp. 309-322
    • Robertson, N.1    Seymour, P.D.2
  • 21
    • 0000563141 scopus 로고
    • Embeddings and minors
    • R. Graham, M. Grotschel, L. Lovasz (Eds.), Cambridge, MA: MIT Press
    • Thomassen C. Embeddings and minors. Graham R., Grotschel M., Lovasz L. Handbook of Combinatorics, Vol. 1. 1995;MIT Press, Cambridge, MA.
    • (1995) Handbook of Combinatorics , vol.1
    • Thomassen, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.