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The augmented eccentric connectivity index of nanotubes and nanotori | ||
| Journal of Discrete Mathematics and Its Applications | ||
| مقاله 1، دوره 2، 1-2، شهریور 2012، صفحه 1-8 اصل مقاله (336.17 K) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jmns.2012.465 | ||
| نویسنده | ||
| Suleyman Ediz | ||
| Department of Mathematics, Yüzüncü Yıl University, Van 65080, Turkey | ||
| تاریخ دریافت: 13 آبان 1390، تاریخ بازنگری: 25 فروردین 1391، تاریخ پذیرش: 27 اردیبهشت 1391 | ||
| چکیده | ||
| Let G be a connected graph, the augmented eccentric connectivity index is a topological index was defined as $\zeta(G)=\sum_{i=1}^nM_i/E_i$, where Mi is the product of degrees of all vertices vj, adjacent to vertex vi, Ei is the largest distance between vi and any other vertex vk of G or the eccentricity of i v and n is the number of vertices in graph G. In this paper exact formulas for the augmented eccentric connectivity index of TUC4C8(S) nanotube and TC4C8(R) nanotorus are given. | ||
| کلیدواژه‌ها | ||
| Augmented eccentric connectivity index؛ Nanotube؛ Nanotorus | ||
| مراجع | ||
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