On the Chromatic Number of the Visibility Graph of a Set of Points in the Plane
✍ Scribed by Jan Kára; Attila Pór; David R. Wood
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 217 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0179-5376
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## Abstract We study a generalization of the notion of the chromatic number of a graph in which the colors assigned to adjacent vertices are required to be, in a certain sense, far apart. © 1993 John Wiley & Sons, Inc.
Following [1] , we investigate the problem of covering a graph G with induced subgraphs G 1 ; . . . ; G k of possibly smaller chromatic number, but such that for every vertex u of G, the sum of reciprocals of the chromatic numbers of the G i 's containing u is at least 1. The existence of such ''ch