一类Fullerene图的1-共振性

一类Fullerene图的1-共振性

祁忠斌¹^,²，张和平¹

1. 兰州大学数学与统计学院, 甘肃兰州730000; 2. 兰州工业高等专科学校基础学科部, 甘肃兰州 730050

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 祁忠斌

1-resonance of a class of Fullerene graphs

QI Zhong-bin¹^,²，ZHANG He-ping¹

1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, Gansu, China;2. Basic Courses Department, Lanzhou Polytechnic College, Lanzhou 730050, Gansu, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: QI Zhong-bin

摘要/Abstract

摘要： 用R(0)表示一个含有1个六边形内面和6个五边形内面的平面图,其中这6个五边形内面同时和该六边形内面相邻,且这6个五边形内面构成一个环链。给出了含有R(0)作为子图的Fullerene图的构造和分类;进一步证明了含有R(0)作为子图的Fullerene图是1-共振图。

关键词: 化学图论, 1-共振图 , 2-可扩性, 共振圈(环), 闭环链, Fullerene 图

Abstract: A plane graph with 1 hexagonal inner face and 6 pentagonal inner faces was denoted by R(0), where these pentagonal faces can form a ring chain, and are adjacent to the hexagonal face. The construction and a classification of the Fullerene graphs containing R(0) were given. Further, it was proved that every Fullerene graph with R(0) as its subgraph is 1-resonant.

Key words: 1-resonant graphs , 2-extendability, resonant cycles(rings), closed ring chain, Fullerene graphs, chemistry graph theory

中图分类号:

O157.6

祁忠斌,张和平 . 一类Fullerene图的1-共振性[J]. J4, 2008, 43(4): 67-72 .

QI Zhong-bin,ZHANG He-ping . 1-resonance of a class of Fullerene graphs[J]. J4, 2008, 43(4): 67-72 .

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