This paper studies circular chromatic numbers and fractional chromatic numbers of distance graphs G(Z , D) for various distance sets D. In particular, we determine these numbers for those D sets of size two, for some special D sets of size three, for
The Br property and chromatic numbers of generalized graphs
✍ Scribed by M Herzog; J Schönheim
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 444 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0095-8956
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📜 SIMILAR VOLUMES
Sampathkumar, E., Generalizations of independence and chromatic numbers of a graph, Discrete Mathematics 115 (1993) 2455251. Let G = (V, E) be a graph and k > 2 be an integer. A set S c V is k-independent if every component in the subgraph (S) induced by S has order at most k-1. The general chromati
The oriented chromatic number χ o ( G) of an oriented graph G = (V, A) is the minimum number of vertices in an oriented graph H for which there exists a homomorphism of G to H. The oriented chromatic number χ o (G) of an undirected graph G is the maximum of the oriented chromatic numbers of all the
## Abstract The star‐chromatic number of a graph, a concept introduced by Vince, is natural generalization of the chromatic number of a graph. We point out an alternate definition of the star‐chromatic number, which sheds new light on the relation of the star‐chromatic number and the ordinary chrom