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OnK1,k-factorization of bipartite multigraphs

✍ Scribed by Jian Wang


Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
2008
Tongue
English
Weight
145 KB
Volume
23
Category
Article
ISSN
1005-1031

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## Abstract We prove a necessary and sufficient condition for a regular bipartite multigraph to contain a 1‐factor including one specified set of independent edges and avoiding another specified set of edges. Β© 1995 John Wiley & Sons, Inc.

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Usual edge colorings have been generalized in various ways; we wilI consider here essentially good edge colorings as well as equitable edge colorings. It is known that bipartite multigraphs present the property of having an equitable k-coloring for each k 3 2. This implies that they also have a good