| 根点自粘合后图的亏格分布 |
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| 引用本文： | 张湘林,黄元秋,郭婷.根点自粘合后图的亏格分布[J].数学学报,2016,59(1):133-144. |
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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.湖南师范大学数学与计算机科学学院 长沙 410081;2.湖南城市学院数学与计算科学学院 益阳 413000;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： | 国家自然科学基金资助项目(11371133, 11301169, 11471106); 湖南省研究生科研创新项目(CX2014B193);益阳市科技计划项目(2013JZ02); 湖南师范大学青年项目(11403) |
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| 摘 要： | 利用删点、加边原理,多种乘法法则,自粘合定理给出了一个双根图在其中一个根点的度为任意大的情形下根点自粘合后图的亏格分布,推广了Gross在文Genus distribution of graph amalgamations:self-pasting at root-vertices,Aust.J.Comb.,2011,49:19-38]中"两个根点度均为2"的类似结果.
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| 关 键 词： | 亏格分布 自粘合 删点原理 加边原理 |
Genus Distribution of Graph Self-Amalgamations |
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| Xiang Lin ZHANG,Yuan Qiu HUANG,Ting GOU.Genus Distribution of Graph Self-Amalgamations[J].Acta Mathematica Sinica,2016,59(1):133-144. |
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| Authors: | Xiang Lin ZHANG Yuan Qiu HUANG Ting GOU |
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| Institution: | 1. Mathematics and Computer Science College, Hu'nan Normal University, Changsha 410081, P. R. China;
2. College of Mathematics and Computing Science, Hu'nan City University, Yiyang 413000, P. R. China;
3. Mathematics and Computer Science College, Hu'nan Normal University, Changsha 410081, P. R. China |
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| Abstract: | The genus distribution of a double-rooted graph whose one root has arbitrary degree after self-pasting at root vertices have been derived, by applying vertexdeleting, edge-addition theorem, multiple production rules and self-amalgamation the-orem. And analogous results of “two roots are two-degree” in literature Genus distribution of graph amalgamations: self-pasting at root-vertices, Aust. J. Comb., 2011, 49: 19-38] had been provided by Gross have been generalized. |
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| Keywords: | genus distribution self-amalgamation deleting vertex theory adding edges theory |
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