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分数因子和分数哈密顿图(英文)
Fractional Factors and Fractional Hamilton Graphs
【摘要】 本文介绍了图的分数方面,将图中基于整数的定义和变量转化为分数形式.介绍了分数图论的一些新结果,特别是关于分数因子和分数哈密顿图的新结果,其中包括了作者最近得到的一些关于分数(g,f)-因子的若干结果.进而,提出了还没有解决的几个新问题.
【Abstract】 In this survey the rational side of graph theory is revealed. Integer-based definitions and invariants are converted into their fractional analogues. Some results on fractional factors and fractional Hamilton graphs are introduced. In particular, some new results related to fractional (g,f)-factors obtained by authors are given. Furthermore, some open problems are presented.
【关键词】 图;
分数匹配;
(g,f)-因子;
分数哈密顿图;
【Key words】 graph; fractional matching; fractional (g, f)-factor; fractional Hamilton graph;
【Key words】 graph; fractional matching; fractional (g, f)-factor; fractional Hamilton graph;
【基金】 This work is supported by NSFC(No. 10471078)and SRFDP(No. 20040422004) of China.
- 【文献出处】 数学进展 ,Advances in Mathematics , 编辑部邮箱 ,2006年03期
- 【分类号】O157.5
- 【被引频次】1
- 【下载频次】93