凯库勒结构与morgan - voice多项式的若干关系

IF 1 Q4 CHEMISTRY, MULTIDISCIPLINARY Iranian journal of mathematical chemistry Pub Date : 2017-06-01 DOI:10.22052/IJMC.2017.49481.1177

Inci Gültekin, B. Şahin

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引用次数: 0

摘要

本文研究了苯类化合物链的凯库勒结构。已经证明了B_n (x) morgan - voce多项式的系数等于具有N=2n+1个点的路径图的k匹配数(m(G,k))。得到了规则之字形非支链苯链与morgan - voice多项式的关系，以及规则之字形非支链苯链与其对应的履带树的关系。

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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Some relations between Kekule structure and Morgan-Voyce polynomials

In this paper, Kekule structures of benzenoid chains are considered. It has been shown that the coefficients of a B_n (x) Morgan-Voyce polynomial equal to the number of k-matchings (m(G,k)) of a path graph which has N=2n+1 points. Furtermore, two relations are obtained between regularly zig-zag nonbranched catacondensed benzenid chains and Morgan-Voyce polynomials and between regularly zig-zag nonbranched catacondensed benzenid chains and their corresponding caterpillar trees.

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