On the number of unique subgraphs
β Scribed by Frank Harary; Allen J Schwenk
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 199 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0095-8956
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-
We show new lower and upper bounds on the maximum number of maximal induced bipartite subgraphs of graphs with n vertices. We present an infinite family of graphs having 105 n=10 % 1:5926 n ; such subgraphs show an upper bound of O(12 n=4 ) ΒΌ O(1:8613 n ) and give an algorithm that finds all maximal