Arc-Transitive Graphs of Valency 11 and Order Four Times an Odd Square-free Integer  

作　　者：Bo Ling Ting Lan Fugang Yin 

机构地区：[1]School of Mathematics and Computer Sciences Yunnan Minzu University,Kunming 650031,China [2]Department of Mathematics,Beijing Jiaotong University,Beijing 100044,China

出　　处：《Algebra Colloquium》2024年第4期689-702,共14页代数集刊（英文版）

基　　金：National Natural Science Foundation of China(12061089,11861076,11701503,12161021,11761079);Natural Science Foundation of Yunnan Province(2019FB139,202201AT070022).

摘　　要：In this paper,we classify connected arc-transitive graphs of valency 1l and of order 4n,where n is an odd square-free integer.In particular,there are four infinite families of such graphs,which have a minimal arc-transitive automorphism group isomor-phic to PSL(2,r),PGL(2,r),Z2×PSL(2,r)and PSL(2,r)×Z11 separately,where r=±1(mod 11)is a prime.Moreover,examples for each class are constructed.

关 键 词：arc-transitive graph symmetric graph automorphism group 

分 类 号：O157.5[理学—数学]