New edge neighborhood graphs


    loading  Checking for direct PDF access through Ovid

Abstract

Let G be an undirected simple connected graph, and e = uv be an edge of G. Let NG(e) be the subgraph of G induced by the set of all vertices of G which are not incident to e but are adjacent to u or v. Let Ne be the class of all graphs H such that, for some graph G, NG (e) ≅ H for every edge e of G. Zelinka [3] studied edge neighborhood graphs and obtained some special graphs in Ne. Balasubramanian and Alsardary [1] obtained some other graphs in Ne. In this paper we given some new graphs in Ne.

    loading  Loading Related Articles