Upper bound on the number of complete maps
β Scribed by I. N. Kovalenko
- Publisher
- Springer US
- Year
- 1996
- Tongue
- English
- Weight
- 177 KB
- Volume
- 32
- Category
- Article
- ISSN
- 1573-8337
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Fisher, D.C. and J. Ryan, Bounds on the number of complete subgraphs, Discrete Mathematics 103 (1992) 313-320. Let G be a graph with a clique number w. For 1 s s w, let k, be the number of complete j subgraphs on j nodes. We show that k,,, c (j~l)(kj/(~))u""'. This is exact for complete balanced w-
A set S of vertices in a graph G is a paired-dominating set of G if every vertex of G is adjacent to some vertex in S and the subgraph induced by S contains a perfect matching. The minimum cardinality of a paired-dominating set of G is the paireddomination number of G, denoted by Ξ³ pr (G). In this w