| 串联双路图的亏格分布 |
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| 引用本文： | 张湘林,黄元秋,郭婷.串联双路图的亏格分布[J].运筹学学报,2017,21(3):55-64. |
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| 作者姓名： | 张湘林 黄元秋 郭婷 |
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| 作者单位： | 1. 湖南大学数学与计量经济学院, 长沙 410082 2. 湖南财政经济学院数学与统计学院, 长沙 410205 3. 湖南师范大学数学与计算机科学学院, 长沙 410081 |
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| 基金项目： | 国家自然科学基金 (Nos. 11371133, 11301169, 11471106), 湖南省教育厅科学研究(No. 17B045), 湖南省社科基金(No. 16YBA053) |
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| 摘 要： | 计算双路图的亏格分布是拓扑图论关注的一个问题,利用传递矩阵与向量积矩阵,给出了两类由双路图串联构建而成的两类闭链图的亏格分布.
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| 关 键 词： | 亏格分布 传递矩阵 向量积矩阵 亏格分布多项式 |
| 收稿时间： | 2016-09-26 |
Genus distributions of double-path in series graphs |
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| ZHANG Xianglin,HUANG Yuanqiu,GUO Ting.Genus distributions of double-path in series graphs[J].OR Transactions,2017,21(3):55-64. |
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| Authors: | ZHANG Xianglin HUANG Yuanqiu GUO Ting |
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| Institution: | 1.College of Mathematics and Econometrics, Hunan University , Changsha 410082, China 2. Mathematics and Statistics College, Hunan University of Finance and Economics, Changsha 410205, China 3. Mathematics and Computer Science College, Hunan Normal University, Changsha 410081, China |
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| Abstract: | Calculating the genus distributions of double-path graphs is a concerned topic in topological graph theory. In this paper, by using transfer matrix method and a vectorized production matrix, the calculation formulas for the genus distributions of two types of graphs formed by double-path connect in series are derived. |
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| Keywords: | genus distribution transfer matrix vectorized production matrix genus polynomials |
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