• BOUNDS ON ROMAN DOMINATION IN SQUARES OF GRAPHS

M. H. Muddebihal*, Srinivasa. G

Abstract


A Roman dominating function on a square graph is a function satisfying the condition that every vertex for which is adjacent to at least one vertex for which in. The weight of a Roman dominating function in is the value. The minimum weight of a Roman dominating function on a square graph is called the Roman domination number of and is denoted by. In this paper, we study the graph theoretic properties of and its exact values for some standard graphs were obtained. Also its relationship with other parameters were found.


Keywords


Graph, Square graph, Dominating set, Roman dominating set, Roman domination number.

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