| 灯笼图的可定向嵌入亏格分布 |
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| 引用本文： | 李兴阔,郝荣霞,周建梅.灯笼图的可定向嵌入亏格分布[J].数学进展,2010(2). |
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| 作者姓名： | 李兴阔 郝荣霞 周建梅 |
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| 作者单位： | 防化指挥工程学院基础部;北京交通大学理学院; |
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| 基金项目： | 国家自然科学基金(No.10871021) |
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| 摘 要： | 本文主要利用联树法研究了图的亏格多项式,得到了一类新图(灯笼图)的嵌入亏格分布.证明了灯笼图和偶梯图的亏格分布具有相同的递推关系,从而得到了灯笼图的嵌入亏格分布的精确解.
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| 关 键 词： | 嵌入分布 联树 曲面 亏格 |
Orientable Embedding Distributions by Genus of Lantern-Graphs |
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| LI Xingkuo,HAO Rongxia,ZHOU Jianmei.Orientable Embedding Distributions by Genus of Lantern-Graphs[J].Advances in Mathematics,2010(2). |
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| Authors: | LI Xingkuo HAO Rongxia ZHOU Jianmei |
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| Institution: | LI Xingkuo~(1,2),HAO Rongxia~1,ZHOU Jianmei~1 (1.Institute of Chemical Defense,Beijing,102205,P.R.China,2.School of Science,Beijing Jiaotong University,100044,P.R.China) |
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| Abstract: | In this paper,joint tree method is used to study the embedding polynomials of graphs,then the embedding genus distributions for a new type of graphs,lantern-graphs, are obtained.We prove that the genus polynomials of lantern-graphs and even-ladders satisfy the same recursions,so we obtain the exact solutions of the embedding genus distributions for lantern-graphs. |
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| Keywords: | embedding distribution joint tree surface genus |
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