A Note on Prime Square Dominating Graph
B. Narayana A. Sudhakaraiah · IOSR Journal of Mathematics · 2012
In this paper we study about the prime square dominating graph and we observe that a prime dominating graph need not be prime square dominating graph, but every prime square dominating graph is prime dominating graph.In this paper we got interesting characteristics theorems such as if a graph contains an odd cycle then it is not a prime square dominating graph, if graph is bipartite then it is a prime square dominating graph.Moreover we discussed about minimal prime square dominating graph and provide necessary examples.