Let the reals be extended to include oo with o~ > r
The maximum number of Kj-subgraphs in a graph with k independent edges
β Scribed by Robert James Douglas
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 173 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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Sanchis, L.A., Maximum number of edges in connected graphs with a given domination number, Discrete Mathematics 87 (1991) 65-72.
## Abstract A graph __g__ of diameter 2 is minimal if the deletion of any edge increases its diameter. Here the following conjecture of Murty and Simon is proved for __n__ < __n__~o~. If __g__ has __n__ vertices then it has at most __n__^2^/4 edges. The only extremum is the complete bipartite graph
Let G=(V 1 , V 2 ; E ) be a bipartite graph with |V 1 |= |V 2 | =n 2k, where k is a positive integer. Suppose that the minimum degree of G is at least k+1. We show that if n>2k, then G contains k vertex-disjoint cycles. We also show that if n=2k, then G contains k&1 quadrilaterals and a path of orde