| 图的最大亏损及围长 |
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| 引用本文： | 黄元秋,刘彦佩. 图的最大亏损及围长[J]. 数学研究及应用, 2000, 20(2): 187-193 |
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| 作者姓名： | 黄元秋 刘彦佩 |
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| 作者单位： | 1. 湖南师范大学数学系,长沙410081
2. 北方交通大学数学系,北京100044 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (19801013) |
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| 摘 要： | 图的最大亏损主要由其参数Ｂｅｔｔｉ亏数确定（例如，见［３］）．本文给出了由图的独立数及围长所确定的Ｂｅｔｔｉ亏数的一个最好上界 ，从而即可得到关于图的最大亏格的一个新结果．
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| 关 键 词： | 图 最大亏损 围长 Betti亏数 |
| 文章编号： | 1000-341(2000)02-0187-07 |
| 收稿时间： | 1997-03-26 |
| 修稿时间： | 1997-03-26 |
Maximum Genus and Girth of a Graph |
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| HUANG Yuan-qiu and LIU Yan-pei. Maximum Genus and Girth of a Graph[J]. Journal of Mathematical Research with Applications, 2000, 20(2): 187-193 |
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| Authors: | HUANG Yuan-qiu and LIU Yan-pei |
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| Affiliation: | Dept. of Math.; Hunan Normal University; Changsha 410081;Dept. of Math.; Northern Jiaotong University; Beijing 100044 |
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| Abstract: | It is known (for example, see [4]) that the maximum genus of a graph is mainly determined by the Betti deficiency of the graph. In this paper, we establish a best upper bound on the Betti deficiency of a graph bounded by its independence number and girth, and immediately obtain a new result on the maximum genus. |
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| Keywords: | maximum genus Betti deficiency independece number girth. |
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