List Edge-Colorings of Series-Parallel Graphs

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Volumn E86-A, Issue 5, 2003, Pages 1034-1045

  Fujino, Tomoya ^a   Zhou, Xiao ^a   Nishizeki, Takao ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

Algorithm; List edge coloring; Series parallel graph

Indexed keywords

ALGORITHMS; PROBLEM SOLVING; THEOREM PROVING;

SERIES CONNECTION;

GRAPH THEORY;

EID: 0141937828     PISSN: 09168508     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. O.V. Borodin, A.V. Kostochka, and D.R. Woodall, "List edge and list total colouring of multigraphs," J. Combinatorial Theory, Series B, vol.71, pp.184-204, 1997.
2. R. Diestel, Graph Theory, Springer-verlag, New York, 1997.
3. T. Fujino, S. Isobe, X. Zhou, and T. Nishizeki, "Linear algorithm for finding list edge-colorings of series-parallel graphs," IEICE Trans. Inf. & Syst., vol.E86-D, no.2, pp.186-190, Feb. 2003.
4. F. Galvin, "The list chromatic index of a bipartite multigraph," J. Combinatorial Theory, Series B, vol.63, pp.153-158, 1995.
5. I. Holyer, "The NP-completeness of edge-coloring," SIAM J. Comput., vol.10, no.4, pp.718-720, 1981.
6. M. Juvan, B. Mohar, and R. Thomas, "List edge-colorings of series-parallel graphs," The Electronic Journal of Combinatorics, vol.6, pp.1-6, 1999.
7. D. König, "Über Graphen und ihre Anwendung auf Determinententheorie und Mengenlehre," Math. Annalen, vol.77, pp.453-465, 1916.
8. T. Nishizeki and N. Chiba, Planar Graphs: Theory and Algorithms, North-Holland, Amsterdam, 1988.
9. O. Terada and T. Nishizeki, "Approximate algorithms for the edge-coloring of graphs," IECE Trans. Inf. & Syst. (Japanese Edition), vol.J65-D, no.11, pp.1382-1389, Nov. 1982.
10. V.G. Vizing, "On an estimate of the chromatic class of a p-graph," Diskret Analiz, 3, pp.25-30, 1964 (in Russian).
11. J.L. Wu, "List edge-colouring of series-parallel graphs," Shandong Daxue Xuebao Ziran Kexue Ban, vol.35, no.2, pp.144-149, 2000 (in Chinese).