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Upper bounds on Roman domination numbers of graphs

โœ Scribed by Chun-Hung Liu; Gerard Jennhwa Chang


Book ID
113567558
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
284 KB
Volume
312
Category
Article
ISSN
0012-365X

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An upper bound for the k-domination numb
โœ E. J. Cockayne; B. Gamble; B. Shepherd ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 82 KB ๐Ÿ‘ 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).