| 一类四正则图的完全亏格分布 |
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| 引用本文： | 杨艳,刘彦佩.一类四正则图的完全亏格分布[J].北京交通大学学报(自然科学版),2009,33(3). |
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| 作者姓名： | 杨艳 刘彦佩 |
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| 作者单位： | 天津大学理学院,天津,300072;北京交通大学理学院,北京,100044 |
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| 摘 要： | 一个图G的完全亏格多项式表征了图G的亏格(可定向,不可定向)分布情况.本文推广了Yang和Liu提出的图类,得到了一类新的四正则图,并得出了此类四正则图的完全亏格分布.
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| 关 键 词： | 图论 完全亏格分布 联树 嵌入 |
Total Genus Distributions of A Class of 4-Regular Graphs |
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| YANG Yan,LIU Yanpai.Total Genus Distributions of A Class of 4-Regular Graphs[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,2009,33(3). |
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| Authors: | YANG Yan LIU Yanpai |
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| Institution: | 1.Department of Mathematics;School of Science;Tianjin University;Tianjin 300072;China;2.School of Science;Beijing Jiaotong University;Beijing 100044;China |
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| Abstract: | The total genus polynomial for a graph G shows the genus(orientable,nonorientable) distribution of the graph G.In this paper,We obtain the total genus distributions for a class of 4-regular graphs which is a popularization of graphs posed by Yang and Liu(Acta Math Sinica,2007,50(5):1191-1200). |
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| Keywords: | graph total genus distribution joint tree embedding |
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