This paper exploits the remarkable new method of Galvin (J. Combin. Theory Ser. B 63 (1995), 153 158), who proved that the list edge chromatic number /$ list (G) of a bipartite multigraph G equals its edge chromatic number /$(G). It is now proved here that if every edge e=uw of a bipartite multigrap
List edge colourings of some 1-factorable multigraphs
β Scribed by M. N. Ellingham; Luis Goddyn
- Publisher
- Springer-Verlag
- Year
- 1996
- Tongue
- English
- Weight
- 547 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0209-9683
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π SIMILAR VOLUMES
## Abstract We prove a necessary and sufficient condition for a regular bipartite multigraph to contain a 1βfactor including one specified set of independent edges and avoiding another specified set of edges. Β© 1995 John Wiley & Sons, Inc.
Archdeacon, D. and J.H. Dinitz. Constructing indecomposable I-factorizations of the complete multigraph, Discrete Mathematics 92 (1991) 9-19.
## Abstract In this paper we discuss some estimates for upper bounds on a number of chromatic parameters of a multigraph. In particular, we show that the total chromatic number for an __n__βorder multigraph exceeds the chromatic index by the smallest __t__ such that __t__! > __n__.