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标题

渺位系统的AZI指标

作者

詹福琴 王文涛 蔡俊亮 乔友付

机构

北京师范大学数学科学学院; 河池学院数学系

摘要

AZI指标是研究辛烷和庚烷生成热的一个有价值的预测指标,其定义为图G中所有边的权重(dudv/(du+dv-2))3的总和,其中dudv分别表示G中边uv的端点u,v的度.本文分别给出了四边形(或六边形)直链和锯齿链的AZI指标值.同时, 得到了具有n个四边形(或六边形)的渺位四角系统(或六角系统)的AZI指标值的界,并确定极值对应的极图.

关键词

AZI指标; 四角系统; 六角系统; 极值; 极图

引用

詹福琴,王文涛,蔡俊亮,乔友付. 渺位系统的AZI指标[J]. 北京师范大学学报(自然科学版),2015,04:340-347.

基金

广西自然科学基金资助项目(2013GXNSFBA019022); 广西教育厅科研基金资助项目(ZD2014114,YB2014324,KY2015ZD103)

分类号

O157.5

DOI

10.16360/j.cnki.jbnuns.2015.04.003

Title

The Augmented Zagreb Index of Catacondensed Systems

Author

Fuqin Zhan, Wentao Wang, Junliang Cai, Youfu Qiao

Affiliations

College of mathematics, Beijing Normal University; Department of Mathematics, Hechi University

Abstract

The augmented Zagreb index (AZI) of graph G, which is predictive of the heat of formation of octanes and heptanes, is defined as the sum of weights over all edges uv of G, where du and dv denote the degrees of terminal vertices u and v of edge uv. In this paper, the augmented Zagreb indices of linear and zig-zag polyomino (resp. hexagonal) chains are given. Meanwhile, the bounds on the augmented Zagreb index of catacondensed polyo(dudv/(du+dv-2))3mino (resp. hexagonal) systems with n squares (resp. hexagons) are obtained and the corresponding extremal graphs are determined.

Key words

AZI index; polyomino systems; hexagonal systems; extreme value; extreme graph

cite

Fuqin Zhan, Wentao Wang, Junliang Cai, Youfu Qiao. The augmented Zagreb index of catacondensed systems[J]. Journal of Beijing Normal University(Natural Science),2015,04:340-347.

DOI

10.16360/j.cnki.jbnuns.2015.04.003

Copyright © 2014 Journal of Beijing Normal University (Natural Science)
Designed by Mr. Sun Chumin. Email: cmsun@mail.bnu.edu.cn