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An Upper Bound for the Independent Domination Number

✍ Scribed by Liang Sun; Jianfang Wang

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 87 KB
Volume: 76
Category: Article
ISSN: 0095-8956
DOI: 10.1006/jctb.1999.1907

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✦ Synopsis

Let G be a simple graph of order n and minimum degree $. The independent domination number i(G) is defined to be the minimum cardinality among all maximal independent sets of vertices of G. In this paper, we show that i(G) n+2$&2 -n$. Thus a conjecture of Favaron is settled in the affirmative.

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