• PRIME LABELING TO UDUKKAI GRAPHS

Abstract

In this paper, we investigate prime labeling for some graphs related to udukkai graph. We discuss prime labeling in the context of some graph operations namely duplication, fusion, switching in udukkai graph . We prove that the duplication of any vertex of udukkai graph are prime graph. We prove that the identifying any vertex of udukkai graph are prime graph. We prove that the switching of an apex vertex and other vertex of udukkai graph are prime graph and also apply coloring of the graph operations of the udukkai graph is satisfying coloring condition.