| 一类Fullerene图的1-共振性 |
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| 引用本文： | 祁忠斌,张和平.一类Fullerene图的1-共振性[J].山东大学学报(理学版),2008,43(4):67-72. |
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| 作者姓名： | 祁忠斌 张和平 |
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| 作者单位： | 1. 兰州大学数学与统计学院,甘肃,兰州,730000;兰州工业高等专科学校基础学科部,甘肃,兰州,730050
2. 兰州大学数学与统计学院,甘肃,兰州,730000 |
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| 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。
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| 关 键 词： | 化学图论 Fullerene 图 闭环链 共振圈(环) 2-可扩性 1-共振图 |
| 文章编号： | 1671-9352(2008)04-0067-06 |
| 修稿时间： | 2007年7月3日 |
1-resonance of a class of Fullerene graphs |
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| QI Zhong-bin,ZHANG He-ping.1-resonance of a class of Fullerene graphs[J].Journal of Shandong University,2008,43(4):67-72. |
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| Authors: | QI Zhong-bin ZHANG He-ping |
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| Institution: | 1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, Gansu, China;2. Basic Courses Department, Lanzhou Polytechnic College, Lanzhou 730050, Gansu, China |
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| 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. |
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| Keywords: | chemistry graph theory Fullerene graphs closed ring chain resonant cycles(rings) 2-extendability 1-resonant graphs |
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