Sanchis, L.A., Maximum number of edges in connected graphs with a given domination number, Discrete Mathematics 87 (1991) 65-72.
Upper bound of the number of edges of a homogeneous connected hypergraph with a given diameter
β Scribed by O. G. Rudenskaya
- Publisher
- Springer US
- Year
- 1980
- Tongue
- English
- Weight
- 122 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1573-8337
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be a connected and simple graph, and let i(G) denote the number of stable sets in G. In this letter, we have presented a sharp upper bound for the i(G)-value among the set of graphs with k cut edges for all possible values of k, and characterized the corresponding extremal graphs as well.
A dominatin# set for a graph G = (V, E) is a subset of vertices V' c\_ V such that for all v β’ V-V' there exists some uβ’ V' for which {v,u} β’E. The domination number of G is the size of its smallest dominating set(s). For a given graph G with minimum size dominating set D, let mz(G, D) denote the nu
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