Sanchis, L.A., Maximum number of edges in connected graphs with a given domination number, Discrete Mathematics 87 (1991) 65-72.
The maximum number of edges in a 3-graph not containing a given star
β Scribed by F. R. K. Chung; P. Frankl
- Publisher
- Springer Japan
- Year
- 1987
- Tongue
- English
- Weight
- 876 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Shi, Y., The number of edges in a maximum cycle-distributed graph, Discrete Mathematics 104 (1992) 205-209. Let f(n) (f\*(n)) be the maximum possible number of edges in a graph (2-connected simple graph) on n vertices in which no two cycles prove that, for every integer n > 3, f(n) 3 n + k + [i( [~(
## 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
Suppose that n i> 2t + 2 (t/> 17). Let G be a graph with n vertices such that its complement is connected and, for all distinct non-adjacent vertices u and v, there are at least t common neighbours. Then we prove that and Furthermore, the results are sharp.