具有极值Wiener和hyper-Wiener指标的六环螺链

J4 ›› 2010, Vol. 45 ›› Issue (12): 16-21.

具有极值Wiener和hyper-Wiener指标的六环螺链

罗朝阳^1,2,陈香莲¹,孙德荣¹

1.昌吉学院数学系, 新疆昌吉 831100; 2.山东大学数学学院, 山东济南 250100

收稿日期:2009-10-21 出版日期:2010-12-16 发布日期:2011-03-16
作者简介:罗朝阳(1969-),男,副教授,硕士,研究方向为图论及其应用. Email:zyl-cjc@sina.com
基金资助:
新疆昌吉学院科研基金资助项目(09SSQD028)

Six-member ring spiro chains with extremal Wiener and hyper-Wiener indices

LUO Zhao-yang^1,2, CHEN Xiang-lian¹, SUN De-rong¹

1. Department of Mathematics, Changji University, Changji 831100, Xinjiang, China;
2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China

Received:2009-10-21 Online:2010-12-16 Published:2011-03-16

摘要/Abstract

摘要：

设G_n是一个六环螺链,给出了G_n关于Wiener和hyper-Wiener指标的计算表达式,证明了G_n=Z_n和G_n=L_n分别是关于Wiener和hyper-Wiener指标的极图并计算出了相应的极值。

关键词: 六环螺链;Wiener指标;hyper-Wiener指标;极图

Abstract:

Let G_n be Six-member ring spiro chains. Two expressions for the Wiener and hyper-Wiener indices of Six-member ring spiro chains G_n are obtained. It is proved that G_n=Z_nand G_n=L_n attain the minimum and maximum of Wiener and hyper-Wiener indices respectively, and the corresponding extreme values are computed.

Key words: six-membered ring spiro chains; Wiener index; hyper-Wiener index; extremal graph

罗朝阳1,2,陈香莲1,孙德荣1. 具有极值Wiener和hyper-Wiener指标的六环螺链[J]. J4, 2010, 45(12): 16-21.

LUO Zhao-yang1,2, CHEN Xiang-lian1, SUN De-rong1. Six-member ring spiro chains with extremal Wiener and hyper-Wiener indices[J]. J4, 2010, 45(12): 16-21.

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