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An upper bound for the k-domination number of a graph

✍ Scribed by E. J. Cockayne; B. Gamble; B. Shepherd

Publisher: John Wiley and Sons
Year: 1985
Tongue: English
Weight: 82 KB
Volume: 9
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190090414

No coin nor oath required. For personal study only.

✦ Synopsis

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).

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