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Research Article Open access CC BY 4.0

On the Co-Common Neighborhood Domination Number

Ahmad N. Al-Kenani, Omar A. Al-Attas, Anwar Alwardi

Asian Research Journal of Mathematics · pp. 1–11 · Published 20 Sep 2016

10.9734/ARJOM/2016/28756

Abstract

In this paper, we introduce the concept of co-common neighborhood domination number (CCN-domination number) γccn(G) of a graph G and we study its relation with the standard domination number γ(G). We also define CCN-independence number βccn(G), total CCNdomination number γtccn (G), CCN-covering number αccn(G) and CCN-domatic number.

Co-Common neighborhood domination Co-Common neighborhood dominating set

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