| 关于图的最大亏格的下界 |
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| 引用本文： | 黄元秋(),刘彦(). 关于图的最大亏格的下界[J]. 系统科学与数学, 2000, 20(1): 124-128 |
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| 作者姓名： | 黄元秋() 刘彦() |
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| 作者单位： | 黄元秋（湖南师范大学数学系, 长沙 410081） |
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| 基金项目： | 国家自然科学基金资助课题. |
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| 摘 要： | 主要考虑2-边和3-边连通图的最大亏格下界情形,推广了J.Chen等(1996)的主要结果,证明了
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| 关 键 词： | 图 Betti亏数 上可嵌入 最大亏格 |
| 修稿时间： | 1997-07-15 |
On the Lower Bounds of the Maximum Genus of Graphs |
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| Yuan Qiu HUANG,Yan LIU. On the Lower Bounds of the Maximum Genus of Graphs[J]. Journal of Systems Science and Mathematical Sciences, 2000, 20(1): 124-128 |
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| Authors: | Yuan Qiu HUANG Yan LIU |
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| Affiliation: | (1)Dept.of Math.,Hunnan Normal Univ.,Changsha 410081,P.R.China;(2)Dept.of Math.,Northern Jiaotong Univ.,Beijing 100044,P.R.China |
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| Abstract: | This paper mainly considers the lower bounds on the maximum genus of 2- edge-connected and 3-edges-connected graphs, generalizes the main result in [7], and proves that (G) is the lower bounds on the maximum genus of any 3-edge-connected and some special 2-edge-connected graphs. In addition, the method used here provides the simple proof for the main results of [7]. |
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| Keywords: | Graph Betti deficiency number upper embeddable maximum genus. |
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