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Lower bounds on the signed domination numbers of directed graphs

✍ Scribed by H. Karami; S.M. Sheikholeslami; Abdollah Khodkar


Book ID
108114022
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
340 KB
Volume
309
Category
Article
ISSN
0012-365X

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The k-domination number of a graph is the cardinality of a smallest set of vertices such that every vertex not in the set is adjacent to at least k vertices of the set. We prove two bounds on the k-domination number of a graph, inspired by two conjectures of the computer program Graffiti.pc. In part