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On the ratio of the domination number and the independent domination number in graphs

โœ Scribed by Furuya, Michitaka; Ozeki, Kenta; Sasaki, Akinari


Book ID
127293679
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
306 KB
Volume
178
Category
Article
ISSN
0166-218X

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Let ฮณ(G) and ir(G) denote the domination number and the irredundance number of a graph G, respectively. Allan and Laskar [Proc. 9th Southeast Conf. on Combin., Graph Theory & Comp. (1978) 43-56] and Bollobรกs and Cock- ayne [J. Graph Theory (1979) 241-249] proved independently that ฮณ(G) < 2ir(G) for

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For a graph G, the definitions of doknation number, denoted y(G), and independent domination number, denoted i(G), are given, and the following results are obtained: oorollrrg 1. For any graph G, y(L(G)) = i@(G)), where Z,(G) is the line graph of G. (This $xh!s t.lic rtsult ~(L(T))~i(L(T)), h w ere