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The Romank-domatic number of a graph

✍ Scribed by Seyed Mahmoud Sheikholeslami; Lutz Volkmann

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2011
Tongue
English
Weight
197 KB
Volume
27
Category
Article
ISSN
1439-7617

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A Roman dominating function on a graph G is a labeling f : V (G) -β†’ {0, 1, 2} such that every vertex with label 0 has a neighbor with label 2. A set { f 1 , f 2 , . . . , f d } of Roman dominating functions on G with the property that called a Roman dominating family (of functions) on G. The maximu

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For a positive integer k, a k-rainbow dominating function of a graph G is a function f from the vertex set V (G) to the set of all subsets of the set {1, 2, . . . , k} such that for any vertex rainbow dominating family (of functions) on G. The maximum number of functions in a k-rainbow dominating f