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Volumn , Issue , 2005, Pages 897-906

An asymptotic approximation scheme for multigraph edge coloring

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BINARY CODES; COLOR; ERROR ANALYSIS; POLYNOMIALS; PROBABILITY; PROBLEM SOLVING;

EID: 20744457213     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (15)

References (13)
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    • (1998) Information Processing Letters , vol.68 , pp. 11-15
    • Caprara, A.1    Rizzi, R.2
  • 2
    • 0040438506 scopus 로고    scopus 로고
    • Edge-coloring bipartite multigraphs in O(E log D) time
    • R. Cole, K. Ost, and S. Schirra. Edge-coloring bipartite multigraphs in O(E log D) time. Combinatorica, 21(1):5-12, 2000.
    • (2000) Combinatorica , vol.21 , Issue.1 , pp. 5-12
    • Cole, R.1    Ost, K.2    Schirra, S.3
  • 3
    • 84957001210 scopus 로고    scopus 로고
    • Approximating maximum edge coloring in multigraphs
    • APPROX. Springer
    • U. Feige, E. Ofek, and U. Wieder. Approximating maximum edge coloring in multigraphs. In APPROX, volume 2462 of LNCS, pages 108-121. Springer, 2002.
    • (2002) LNCS , vol.2462 , pp. 108-121
    • Feige, U.1    Ofek, E.2    Wieder, U.3
  • 4
    • 0002818039 scopus 로고
    • On multigraphs of almost maximal chromatic class
    • M. K. Goldberg. On multigraphs of almost maximal chromatic class (in russian). Diskret Analiz, 23:3-7, 1973.
    • (1973) Diskret Analiz , vol.23 , pp. 3-7
    • Goldberg, M.K.1
  • 5
    • 38249042614 scopus 로고
    • A better than "best possible" algorithm to edge color multigraphs
    • D. S. Hochbaum, T. Nishizeki, and D. B. Shmoys. A better than "best possible" algorithm to edge color multigraphs. Journal of Algorithms, 7:79-104, 1986.
    • (1986) Journal of Algorithms , vol.7 , pp. 79-104
    • Hochbaum, D.S.1    Nishizeki, T.2    Shmoys, D.B.3
  • 6
    • 0000429528 scopus 로고
    • The NP-completeness of edge-coloring
    • I. Holyer. The NP-completeness of edge-coloring. SIAM Journal on Computing, 10(4):718-720, 1981.
    • (1981) SIAM Journal on Computing , vol.10 , Issue.4 , pp. 718-720
    • Holyer, I.1
  • 7
    • 0030295232 scopus 로고    scopus 로고
    • Asymptotics of the chromatic index for multigraphs
    • J. Kahn. Asymptotics of the chromatic index for multigraphs. Journal of Combinatorial Theory B, 68:233-254, 1996.
    • (1996) Journal of Combinatorial Theory B , vol.68 , pp. 233-254
    • Kahn, J.1
  • 9
    • 0021429961 scopus 로고
    • Fractional covers for forests and matchings
    • M. W. Padberg and L. A. Wolsey. Fractional covers for forests and matchings. Math. Programming, 29(1):1-14, 1984.
    • (1984) Math. Programming , vol.29 , Issue.1 , pp. 1-14
    • Padberg, M.W.1    Wolsey, L.A.2
  • 10
    • 0042707119 scopus 로고    scopus 로고
    • A sublinear bound on the chromatic index of multigraphs
    • M. Plantholt. A sublinear bound on the chromatic index of multigraphs. Discrete Mathematics, 202(1-3):201-213, 1999.
    • (1999) Discrete Mathematics , vol.202 , Issue.1-3 , pp. 201-213
    • Plantholt, M.1
  • 11
    • 20744456993 scopus 로고    scopus 로고
    • A combined logarithmic bound on the chromatic index of multigraphs
    • manuscript in preparation The result was presented at the Boca Raton
    • M. Plantholt. A combined logarithmic bound on the chromatic index of multigraphs. manuscript in preparation. The result was presented at the 34th Southeastern Int. Conf. on Combinatorics, Graph Theory, and Computing, Boca Raton, 2003.
    • (2003) 34th Southeastern Int. Conf. on Combinatorics, Graph Theory, and Computing
    • Plantholt, M.1
  • 12
    • 0003261553 scopus 로고
    • Some unsolved problems on one-factorization of graphs
    • J. A. Bondy and U. S. R. Murty, editors. Academic Press
    • P. D. Seymour. Some unsolved problems on one-factorization of graphs. In J. A. Bondy and U. S. R. Murty, editors, Graph Theory and Related Topics, pages 367-368. Academic Press, 1979.
    • (1979) Graph Theory and Related Topics , pp. 367-368
    • Seymour, P.D.1
  • 13
    • 0002935868 scopus 로고
    • On an estimate of the chromatic class of a p-graph
    • V. G. Vizing. On an estimate of the chromatic class of a p-graph (in russian). Diskret. Analiz, 3:23-30, 1964.
    • (1964) Diskret. Analiz , vol.3 , pp. 23-30
    • Vizing, V.G.1


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