关于K_（1，r）－free图的连通因子

ON CONNECTED FACTORS OF A CONNECTED K_(1,r)-FREE GRAPH

本文证明了每个连通的Ｋ１，ｒ－ｆｒｅｅ图Ｇ，如果有［ｆ，ｇ］－因子Ｆ，则它就有包含Ｆ的［ｆ，ｇ＋ｒ－１］连通因子．

This paper generalizes the result of [1]. It is shown that every connected K1,r-free graph G contains a connected [f,g+r-1]-factor if G has a [f,g]-factor.