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The hyper edge-Wiener index of corona product of graphs | ||
| Transactions on Combinatorics | ||
| مقاله 1، دوره 4، شماره 3، آذر 2015، صفحه 1-9 اصل مقاله (236.28 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2015.6120 | ||
| نویسندگان | ||
| Abolghasem Soltani1؛ Ali Iranmanesh* 2 | ||
| 1Tarbiat Modares University | ||
| 2Department of Mathematics, Tarbiat Modares University, P. O. Box 14115-137, Tehran | ||
| چکیده | ||
| Let $G$ be a simple connected graph. The edge-Wiener index $W_e(G)$ is the sum of all distances between edges in $G$, whereas the hyper edge-Wiener index $WW_e(G)$ is defined as $W{W_e}(G) = {\frac{1}{2}}{W_e}(G) + {\frac{1}{2}} {W_e^{2}}(G)$, where $ {W_e^{2}}(G)= \sum\limits_{\left\{ {f,g} \right\} \subseteq E(G)} {d_e^2(f,g)}$. In this paper, we present explicit formula for the hyper edge-Wiener index of corona product of two graphs. Also, we use it to determine the hyper edge-Wiener index of some chemical graphs. | ||
| کلیدواژه‌ها | ||
| Distance؛ Topological index؛ Hyper edge-Wiener index؛ Corona product | ||
| مراجع | ||
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