具有k四边形的螺旋化合物的最小Estrada指数

IF 1 Q4 CHEMISTRY, MULTIDISCIPLINARY Iranian journal of mathematical chemistry Pub Date : 2019-09-01 DOI:10.22052/IJMC.2019.149094.1392

M. Iranmanesh, Razieh Nejati

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摘要

摘要设G = (V,E)为具有λ1， λ2，…的有限简单图λn作为它的特征值。G的Estrada指数为EE(G) =∑ni=1e^{λi}。螺旋化合物是一种具有两个或多个环的扭曲结构的化合物，其中两个或三个环由一个共同原子连接在一起。本文证明了对称且稳定的螺旋化合物在所有螺旋化合物中具有最小的Estrada指数。

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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The Minimum Estrada Index of Spiro Compounds with k Quadrangles

Abstract. Let G = (V,E) be a fi nite and simple graph with λ1, λ2,...,λn as its eigenvalues.The Estrada index of G is EE(G) =∑ni=1e^{λi} . A spiro compound is a chemical compound that presents a twisted structure of two or more rings, in which 2 or 3 rings are linked together by one common atom. In this paper, we show that the symmetric and stable spiro compounds among all spiro compounds have the minimum Estrada index.

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