4pq阶连通3度边传递图  

Edge-transitive Cubic Graph of Order 4pq

作　　者：白伟[1] 仝允战[1] 

机构地区：[1]郑州大学数学系,河南郑州450052

出　　处：《许昌学院学报》2004年第2期8-12,共5页Journal of Xuchang University

摘　　要：证明了一个 4pq阶的连通 3度传递图X当其全自同构群不含非可解极小正规子群时为对称图 .这里p ,q为大于An undirected graph without isolated vertices is said to be symmetric if its full automorphism group acts transitively on its arc set.An undirected graph without isolated vertices is said to be edge transitive if its full automorphism group acts transitively on its edge set.In this paper,the author proves that all connected cubic edge transitive graphs of order 4pq are symmetric,when their full automorphism contains no unsolved minimum normal subgroup,where p and q are different odd primes number.

关 键 词：边传递图 对称图 半对称图 可解群 

分 类 号：O152.1[理学—数学]