Geodesic
New edge neighborhood graphs
Czechoslovak Mathematical Journal, Tome 47 (1997) no. 3, pp. 501-504.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Let $G$ be an undirected simple connected graph, and $e=uv$ be an edge of $G$. Let $N_G(e)$ 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 $\mathcal N_e$ be the class of all graphs $H$ such that, for some graph $G$, $N_G(e)\cong H$ for every edge $e$ of $G$. Zelinka [3] studied edge neighborhood graphs and obtained some special graphs in $\mathcal N_e$. Balasubramanian and Alsardary [1] obtained some other graphs in $\mathcal N_e$. In this paper we given some new graphs in $\mathcal N_e$.
Classification : 05C75 
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     author = {Ali, Ali A. and Alsardary, Salar Y.},
     title = {New edge neighborhood graphs},
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Ali, Ali A.; Alsardary, Salar Y. New edge neighborhood graphs. Czechoslovak Mathematical Journal, Tome 47 (1997) no. 3, pp. 501-504. http://geodesic.mathdoc.fr/item/CMJ_1997__47_3_a9/