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Some results on domination number of products of graphs

โœ Scribed by Shan Erfang; Sun Liang; Kang Liying


Book ID
107502111
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
1998
Tongue
English
Weight
224 KB
Volume
13
Category
Article
ISSN
1005-1031

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In this communication the domination number of the cross product of an elementary path with the complement of another path is exactly determined and some inequalities for general cases are deduced. The paper ends with a Vizing-like conjecture relating the domination number of the cross product of G

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A dominatin# set for a graph G = (V, E) is a subset of vertices V' c\_ V such that for all v โ€ข V-V' there exists some uโ€ข V' for which {v,u} โ€ขE. The domination number of G is the size of its smallest dominating set(s). For a given graph G with minimum size dominating set D, let mz(G, D) denote the nu