Nordhaus–Gaddum for treewidth
✍ Scribed by Gwenaël Joret; David R. Wood
- Book ID
- 113582433
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 187 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0195-6698
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📜 SIMILAR VOLUMES
A Nordhaus-Gaddum-type result is a (tight) lower or upper bound on the sum or product of a parameter of a graph and its complement. In this paper we continue the study of Nordhaus-Gaddum bounds for the total domination number γ t . Let G be a graph on n vertices and let G denote the complement of G,
## Abstract A Nordhaus‐‐Gaddum‐type result is a (tgiht) lower or upper bound on the sum or product of a parameter of a graph and its complement. In this paper some variations are considered. First, the sums and products of ψ(__G__~1~) and ψ(__G__~2~) are examined where __G__~1~ ⊕ __G__~2~ = __K__(_
A node in a graph G = (V,E) is said to dominate itself and all nodes adjacent to it. A set S C V is a dominating set for G if each node in V is dominated by some node in S and is a double dominating set for G if each node in V is dominated by at least two nodes in S. First we give a brief survey of
For a graph G of order n, let (G), 2(G) and t (G) be the domination, double domination and total domination numbers of G, respectively. The minimum degree of the vertices of G is denoted by (G) and the maximum degree by (G). In this note we prove a conjecture due to Harary and Haynes saying that if