中文摘要：

交错群网络AN_n（n≥3）被定义为度数为n的交错群图A_n关于{（1 2 3）,（132）,（1 2）（3 i）｜4≤i≤n}的Cayley图.Zhou和Xiao[Information Processing Letters,110（2010）,403-409]得到了当错误点的个数｜F｜≤3n-10时的交错群网络的容错性.本文讨论｜F｜≤6n-24时交错群网络的容错性,并且完全刻画了n≥5且｜F｜≤6n-18时AN_n／F的所有小连通分支的特性.

英文摘要：

The alternating group network AN_n（n 3） is defined as the Cayley graph on the alternating group A_n of degree n with respect to {（1 2 3）,（1 3 2）,（1 2）（3 i） ｜4≤i≤n}.Zhou and Xiao[Information Processing Letters,110（2010）,403-409]deduced the fault tolerance of alternating group network with the number of fault vertices ｜F｜≤3n—10.In this paper,we discuss the fault tolerance of alternating group network with ｜F｜≤6n—24,and completely characterize all small components,of AN_n ／ F with ｜F｜≤6n - 18 for n≥5.