分数因子和分数哈密顿图

摘要

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.%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.