THE SPLITE QUITABLE DOMIATION NUMBER OF A GRAPH

Cite this:
K. B. Murthy, P. (2013). THE SPLITE QUITABLE DOMIATION NUMBER OF A GRAPH. Asian Journal of Current Engineering and Maths, 1(6). Retrieved from http://innovativejournal.in/index.php/ajcem/article/view/128
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Abstract

An equitable dominating set D of a graph G = (V, E) is a split equitable dominating set if the induced subgraph hV − Di is a disconnected. The split equitable domination number ϒse(G) of a graph G is the minimum cardinality of a split equitable dominating set. In this paper, we initiate the study of this new parameter and present some bounds and some exact values for ϒse(G). Also Nordhaus−Gaddum type results are obtained.

Mathematics Subject Classification : 05C69.

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