On the independence number of a graph in terms of order and size
โ Scribed by J. Harant; I. Schiermeyer
- Book ID
- 108315560
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 97 KB
- Volume
- 232
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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. (~
Venezuela Ap. 47567, Caracas Favaron, O., P. Mago and 0. Ordaz, On the bipartite independence number of a balanced bipartite graph, Discrete Mathematics 121 (1993) 55-63. The bipartite independence number GI aIp of a bipartite graph G is the maximum order of a balanced independent set of G. Let 6 b
## Abstract We consider graphs __G = (V,E)__ with order ฯ = |__V__|, size __e__ = |__E__|, and stability number ฮฒ~0~. We collect or determine upper and lower bounds on each of these parameters expressed as functions of the two others. We prove that all these bounds are sharp. ยฉ __1993 by John Wiley
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 \_(