Prime Labeling to Drums Graphs
A.Edward Samuel, Sekar Kalaivani · Annals of Pure and Applied Mathematics · 2018
In this paper, we introduce the new graph namely drums graph ܦ .We investigate prime labeling for some graphs related to drums graph.We discuss prime labeling in the context of some graph operations namely duplication, fusion, switching in drums graph ܦ .We prove that the duplication of any vertex of drums graph are prime graph.We prove that the identifying any vertex of drums graph are prime graph.We prove that the switching of an apex vertex and other vertex of drums graphs are prime graph and also apply coloring of the graph operations of the drums graph is satisfying coloring condition.