%0 Journal Article
%T FRACTIONAL k-FACTORS OF GRAPHS<br>图的分数κ-因子
%A Lan Ju ZHANG
%A <br>张兰菊
%A 刘桂真
%J 系统科学与数学
%D 2001
%I 
%X Fractional graph theory is a new research subject in graph theory. Some results have been achieved concerning fractional matching, fractional coloring etc. Given a graph G = (V,E). Let a and b be two nonnegative integers. Let f: be a function. We call f a fractional a,b]-factor of G, if a b for all x V.A fractional k-factor f is a fractional a,b]-factor with a = b = k. In this article we give a necessary and sufficient condition for a graph to have a fractional k-factor with augmenting path method.
%K Factors
%K fractional factors
%K augmenting path<br>因子
%K 分数因子
%K 增广路
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=D411DE9348138FF252DA125F6FADAC0A&yid=14E7EF987E4155E6&vid=659D3B06EBF534A7&iid=CA4FD0336C81A37A&sid=1E049F4597A31D65&eid=9871A52C5ED98B69&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=6&reference_num=0