Graovac-Ghorbani指数

IF 1 Q4 CHEMISTRY, MULTIDISCIPLINARY

Iranian journal of mathematical chemistry Pub Date : 2019-12-01 DOI:10.22052/IJMC.2019.169508.1420

M. Ghorbani, Shaghayegh Rahmani, O. Ori

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引用次数: 1

摘要

对于图G的边e = uv，设nu = n(u|G)为G中离顶点u比离顶点v更近的顶点数，nv= n(v|G)的定义与此类似。然后将G的ABCGG指标定义为ABCGG =sum_{e=uv} sqrt{f(u,v)}，其中f(u,v)= (nu+nv-2)/nunv。本文的目的是给出关于这个图不变量的一些新的结果。我们还计算了无限一族富勒烯的ABCGG。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Graovac-Ghorbani index

For the edge e = uv of a graph G, let nu = n(u|G) be the number of vertices of G lying closer to the vertex u than to the vertex v and nv= n(v|G) can be defined simailarly. Then the ABCGG index of G is defined as ABCGG =sum_{e=uv} sqrt{f(u,v)}, where f(u,v)= (nu+nv-2)/nunvThe aim of this paper is to give some new results on this graph invariant. We also calculate the ABCGG of an infinite family of fullerenes.

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来源期刊

Iranian journal of mathematical chemistry CHEMISTRY, MULTIDISCIPLINARY-

CiteScore

2.10

自引率

7.70%

发文量