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Volumn 40, Issue 1, 2001, Pages 24-36

Improved Bandwidth Approximation for Trees and Chordal Graphs

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EID: 0344359893     PISSN: 01966774     EISSN: None     Source Type: Journal    
DOI: 10.1006/jagm.2000.1118     Document Type: Article
Times cited : (23)

References (28)
  • 1
    • 0011105466 scopus 로고
    • A variance method in combinatorial number theory
    • I. Anderson, A variance method in combinatorial number theory, Glasgow Math. J. 10 (1969), 126-129.
    • (1969) Glasgow Math. J. , vol.10 , pp. 126-129
    • Anderson, I.1
  • 5
    • 0009188832 scopus 로고    scopus 로고
    • Distance approximating trees for chordal and dually chordal graphs
    • A. Brandstädt, V. Chepoi, and F. Dragan, Distance approximating trees for chordal and dually chordal graphs, J. Algorithms 30 (1999), 166-184.
    • (1999) J. Algorithms , vol.30 , pp. 166-184
    • Brandstädt, A.1    Chepoi, V.2    Dragan, F.3
  • 6
    • 49549154127 scopus 로고
    • A characterisation of rigid circuit graphs
    • P. Buneman, A characterisation of rigid circuit graphs, Discrete Math. 9 (1974), 205-212.
    • (1974) Discrete Math. , vol.9 , pp. 205-212
    • Buneman, P.1
  • 12
    • 0034389097 scopus 로고    scopus 로고
    • Embedding trees into low dimensional Euclidean spaces
    • A. Gupta, Embedding trees into low dimensional Euclidean spaces, Discrete Comput. Geom. 24 (2000), 105-116.
    • (2000) Discrete Comput. Geom. , vol.24 , pp. 105-116
    • Gupta, A.1
  • 14
    • 0037814216 scopus 로고
    • Improved dynamic programming algorithms for bandwidth minimization and the mincut linear arrangement problem
    • E. M. Gurari and I. Hal Sudborough, Improved dynamic programming algorithms for bandwidth minimization and the mincut linear arrangement problem, J. Algorithms 5 (1984), 531-546.
    • (1984) J. Algorithms , vol.5 , pp. 531-546
    • Gurari, E.M.1    Hal Sudborough, I.2
  • 15
    • 0031476959 scopus 로고    scopus 로고
    • Approximation algorithms for the bandwidth minimization problem for a large class of trees
    • J. Haralambides and F. Makedon, Approximation algorithms for the bandwidth minimization problem for a large class of trees, Theory Comput. System 30 (1997), 67-90.
    • (1997) Theory Comput. System , vol.30 , pp. 67-90
    • Haralambides, J.1    Makedon, F.2
  • 16
    • 0012361172 scopus 로고
    • Bandwidth minimization: An approximation algorithm for caterpillars
    • J. Haralambides, F. Makedon, and B. Monien, Bandwidth minimization: an approximation algorithm for caterpillars, Math. Systems Theory 24 (1991), 169-177.
    • (1991) Math. Systems Theory , vol.24 , pp. 169-177
    • Haralambides, J.1    Makedon, F.2    Monien, B.3
  • 17
    • 0011430418 scopus 로고
    • Computing the bandwidth of interval graphs
    • D. J. Kleitman and R. V. Vohra, Computing the bandwidth of interval graphs, SIAM J. Discrete Math. 3 (1990), 373-375.
    • (1990) SIAM J. Discrete Math. , vol.3 , pp. 373-375
    • Kleitman, D.J.1    Vohra, R.V.2
  • 18
    • 0011423220 scopus 로고    scopus 로고
    • Approximating the bandwidth for asteroidal triple-free graphs
    • T. Kloks, D. Kratsch, and H. Müller, Approximating the bandwidth for asteroidal triple-free graphs, J. Algorithms 32 (1999), 41-57.
    • (1999) J. Algorithms , vol.32 , pp. 41-57
    • Kloks, T.1    Kratsch, D.2    Müller, H.3
  • 19
    • 84957047489 scopus 로고    scopus 로고
    • Approximating bandwidth by mixing layouts of interval graphs
    • "Proceedings of the 16th Annual Symposium on Theoretical Aspects of Computer Science (STACS '99)" (C. Meinel and S. Tison, Eds.), Springer-Verlag, Berlin/New York
    • D. Kratsch and L. Stewart, Approximating bandwidth by mixing layouts of interval graphs in "Proceedings of the 16th Annual Symposium on Theoretical Aspects of Computer Science (STACS '99)" (C. Meinel and S. Tison, Eds.), Lecture Notes in Computer Science, Vol. 1563 pp. 248-258, Springer-Verlag, Berlin/New York, 1999.
    • (1999) Lecture Notes in Computer Science , vol.1563 , pp. 248-258
    • Kratsch, D.1    Stewart, L.2
  • 20
    • 0346443347 scopus 로고
    • Littlewood-Offord inequalities for random variables
    • I. Leader and A. J. Radcliffe, Littlewood-Offord inequalities for random variables, SIAM J. Discrete Math. 1 (1994), 90-101.
    • (1994) SIAM J. Discrete Math. , vol.1 , pp. 90-101
    • Leader, I.1    Radcliffe, A.J.2
  • 22
    • 0001570001 scopus 로고    scopus 로고
    • On embedding trees into uniformly convex Banach spaces
    • J. Matoušek, On embedding trees into uniformly convex Banach spaces, Israel J. Math. 114 (1999), 221-237. [Czech version in "Lipschitz Distance of Metric Spaces," C.Sc. degree thesis, Charles University, 1990].
    • (1999) Israel J. Math. , vol.114 , pp. 221-237
    • Matoušek, J.1
  • 23
    • 0001570001 scopus 로고    scopus 로고
    • Czech version in C.Sc. degree thesis, Charles University
    • J. Matoušek, On embedding trees into uniformly convex Banach spaces, Israel J. Math. 114 (1999), 221-237. [Czech version in "Lipschitz Distance of Metric Spaces," C.Sc. degree thesis, Charles University, 1990].
    • (1990) Lipschitz Distance of Metric Spaces
  • 24
    • 0011517609 scopus 로고
    • The bandwidth minimization problem for caterpillars with hair length 3 is NP-complete
    • B. Monien, The bandwidth minimization problem for caterpillars with hair length 3 is NP-complete, SIAM J. Algebraic Discrete Methods 7 (1986), 505-512.
    • (1986) SIAM J. Algebraic Discrete Methods , vol.7 , pp. 505-512
    • Monien, B.1
  • 25
    • 0016881473 scopus 로고
    • The NP-completeness of the bandwidth minimization problem
    • C. H. Papadimitriou, The NP-completeness of the bandwidth minimization problem, Computing 16 (1976), 263-270.
    • (1976) Computing , vol.16 , pp. 263-270
    • Papadimitriou, C.H.1
  • 26
    • 0032332279 scopus 로고    scopus 로고
    • Lower bounds on the distortion of embedding finite metric spaces in graphs
    • Y. Rabinovich and R. Raz, Lower bounds on the distortion of embedding finite metric spaces in graphs, Discrete Comput. Geom. 19 (1998), 79-94.
    • (1998) Discrete Comput. Geom. , vol.19 , pp. 79-94
    • Rabinovich, Y.1    Raz, R.2
  • 27
    • 0032680556 scopus 로고    scopus 로고
    • Small distortion and volume preserving embeddings for planar and Euclidean metrics
    • S. B. Rao, Small distortion and volume preserving embeddings for planar and Euclidean metrics, in "15th Annual ACM Symposium on Computational Geometry," pp. 300-306, 1999.
    • (1999) 15th Annual ACM Symposium on Computational Geometry , pp. 300-306
    • Rao, S.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.