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Upper bounds for ƒ-domination number of graphs

✍ Scribed by Beifang Chen; Sanming Zhou


Book ID
108316189
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
200 KB
Volume
185
Category
Article
ISSN
0012-365X

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📜 SIMILAR VOLUMES


An upper bound for the k-domination numb
✍ E. J. Cockayne; B. Gamble; B. Shepherd 📂 Article 📅 1985 🏛 John Wiley and Sons 🌐 English ⚖ 82 KB 👁 2 views

The kdomination number of a graph G, y k ( G ) , is the least cardinality of a set U of verticies such that any other vertex is adjacent to at least k vertices of U. We prove that if each vertex has degree at least k. then YAG) 5 kp/(k + 1).

Upper bounds on the paired-domination nu
✍ Xue-gang Chen; Wai Chee Shiu; Wai Hong Chan 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 199 KB

A set S of vertices in a graph G is a paired-dominating set of G if every vertex of G is adjacent to some vertex in S and the subgraph induced by S contains a perfect matching. The minimum cardinality of a paired-dominating set of G is the paireddomination number of G, denoted by γ pr (G). In this w