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Dynamic chromatic number of regular graphs

✍ Scribed by Meysam Alishahi


Book ID
116401289
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
222 KB
Volume
160
Category
Article
ISSN
0166-218X

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πŸ“œ SIMILAR VOLUMES


Regular graphs and edge chromatic number
✍ R.J Faudree; J Sheehan πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 376 KB

For any simple graph G, Vizing's Theorem [5] implies that A (G)~)((G)<~ A(G)+ 1, where A (G) is the maximum degree of a vertex in G and x(G) is the edge chromatic number. It is of course possible to add edges to G without changing its edge chromatic number. Any graph G is a spanning subgraph of an e

Regular graphs with prescribed chromatic
✍ L. Caccetta; N. J. Pullman πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 200 KB

## Abstract We determine the minimum number of edges in a regular connected graph on __n__ vertices, containing a complete subgraph of order __k__ ≀ __n__/2. This enables us to confirm and strengthen a conjecture of P. ErdΓΆs on the existence of regular graphs with prescribed chromatic number.

The generalized acyclic edge chromatic n
✍ Stefanie Gerke; Catherine Greenhill; Nicholas Wormald πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 224 KB πŸ‘ 1 views

## Abstract The __r__‐acyclic edge chromatic number of a graph is defined to be the minimum number of colors required to produce an edge coloring of the graph such that adjacent edges receive different colors and every cycle __C__ has at least min(|__C__|, __r__) colors. We show that (__r__β€‰βˆ’β€‰2)__d