Vizing's Theorem, any graph G has chromatic index equal either to its maximum degree A(G) or A(G) + 1. A simple method is given for determining exactly the chromatic index of any graph with 2s + 2 vertices and maximum degree 2s.
The chromatic index of graphs of high maximum degree
โ Scribed by K.H. Chew
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 608 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, we give sufficient conditions for simple graphs to be class 1. These conditions mainly depend on the edge-connectivity, maximum degree and the number of vertices of maximum degree of a graph. Using these conditions, we can extend various results of Chetwynd and Hilton, and Niessen and Volkmann.
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