New edge neighborhood graphs |
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| Authors: | Ali A. Ali Salar Y. Alsardary |
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| Affiliation: | (1) Department of Mathematics, College of Science, Mosul University, Mosul, Iraq;(2) Department of Mathematics, Physics, and Computer Science, Philadelphia College of Pharmacy and Science, 600 South 43rd Street, Philadelphia, PA, 19104-4495, U.S.A |
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| 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. |
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