A lower bound for the convexity number of some graphs
β Scribed by Byung Kee Kim
- Publisher
- Springer-Verlag
- Year
- 2004
- Tongue
- English
- Weight
- 135 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1598-5865
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π SIMILAR VOLUMES
Caro (1979) and Wei (1981) established a bound on the size of an independent set of a graph as a function of its degrees. In case the degrees of each vertex's neighbors are also known, we establish a lower bound which is tighter for most graphs.
## Abstract In this paper, we prove that the Kneser graphs defined on a ground set of __n__ elements, where __n__ is even, have their circular chromatic numbers equal to their chromatic numbers. Β© 2005 Wiley Periodicals, Inc. J Graph Theory 49: 257β261, 2005
A new lower bound on the independence number of a graph is established and an accompanying efficient algorithm constructing an independent vertex set the cardinality of which is at least this lower bound is given. (~