Further results on the common neighbourhood domination and some related graphs

Anwar Alwardi, N. D. Soner · MyPrints@UOM (Mysore University Library) · 2014

In this paper we obtain some results and bounds on the common neighbourhood domination number (CN-domination number) of a graph G. Also we introduce the common neighbourhood domatic number (CN-domatic number). Common neighbourhood connectedness(CN-connectedness), Common neighbourhood regularity (CN-regularity), Common neighbourhood completeness (CN-completeness) are introduce by define the CN-connected graph, CN-regular graph, CN-complete graph and CN-complement. Some properties and interesting results of these graphs are established.

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