Wiener index of certain families of hexagonal chains

被引：17

作者：

Dobrynin, Andrey A. ^{[1
]}

Estaji, Ehsan ^{[2
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Novosibirsk, Russia

[2] Hakim Sabzevari Univ, Dept Math & Comp Sci, Sabzevar, Iran

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2019年 / 59卷 / 1-2期

基金：

俄罗斯基础研究基金会; 美国国家科学基金会;

关键词：

Graph invariant; Wiener index; Hexagonal chain;

D O I：

10.1007/s12190-018-1177-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Wiener index is a topological index of a molecule, defined as the sum of distances between all pairs of vertices in the chemical graph representing the non-hydrogen atoms in the molecule. Hexagonal chains consist of hexagonal rings connected with each other by edges. This class of graphs contains molecular graphs of unbranched catacondensed benzenoid hydrocarbons. A segment of a chain is its maximal subchain with linear connected hexagons. Chains with segments of equal lengths can be coded by binary words. Formulas for the sums of Wiener indices of hexagonal chains of some families are derived and computational examples are presented.

引用

页码：245 / 256

页数：12

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