In this paper, we introduce new results of vertex connected dominating set and vertex connected domination polynomial of vertex identification, edge introduced and t-tuple of complete graph, also we determine new results of vertex connected dominating set and vertex connected domination polynomial of vertex identification, edge introduced and t-tuple of wheel graph .
Let G = (V, E) be a simple connected undirected graph. In this paper, we define generalized Euler's Φ-Function of a graph which is the summation of the Euler's ϕ−function of the degree of the vertices of a graph and it is denoted by Φ (G). It is determined the general form of Euler's Φ-function of some standard graphs. Finally, some important results and properties are studied.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.