On the number of unique subgraphs of a graph
β Scribed by A.E Brouwer
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 107 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0095-8956
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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
Let \_(n, m, k) be the largest number \_ # [0, 1] such that any graph on n vertices with independence number at most m has a subgraph on k vertices with at lest \_ } ( k 2 ) edges. Up to a constant multiplicative factor, we determine \_(n, m, k) for all n, m, k. For log n m=k n, our result gives \_(