## Abstract A graph __G__ is class II, if its chromatic index is at least Ξ + 1. Let __H__ be a maximum Ξβedgeβcolorable subgraph of __G__. The paper proves best possible lower bounds for |__E__(__H__)|/|__E__(__G__)|, and structural properties of maximum Ξβedgeβcolorable subgraphs. It is shown tha
Cores of class II graphs
β Scribed by D. G. Hoffman
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 230 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0364-9024
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β¦ Synopsis
Abstract
We find necessary and sufficient conditions for a graph G to be the core of a graph containing an overfull subgraph of the same maximum degree. Thus we enlarge the list of graphs known to be cores of class II graphs. Β© 1995 John Wiley & Sons, Inc.
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