Star-shape, Radon number, and minty graphs
β Scribed by L. F. German; O. I. Topale
- Publisher
- Springer US
- Year
- 1987
- Tongue
- English
- Weight
- 718 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1573-8337
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We investigate the relation between the multichromatic number (discussed by Stahl and by Hilton, Rado and Scott) and the star chromatic number (introduced by Vince) of a graph. Denoting these by Ο \* and Ξ· \* , the work of the above authors shows that Ο \* (G) = Ξ· \* (G) if G is bipartite, an odd cy
## Abstract The starβchromatic 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 starβchromatic number, which sheds new light on the relation of the starβchromatic number and the ordinary chrom
The star-chromatic number of a graph, a parameter introduced by Vince, is a natural generalization of the chromatic number of a graph. Here we construct planar graphs with star-chromatic number r, where r is any rational number between 2 and 3, partially answering a question of Vince.
## Abstract Star chromatic number, introduced by A. Vince, is a natural generalization of chromatic number. We consider the question, βWhen is Ο\* < Ο?β We show that Ο\* < Ο if and only if a particular digraph is acyclic and that the decisioin problem associated with this question is probably not i