摘要
F.Harary在[1]中提出如下一个未解决问题:那些有限置换群是完全图同构分解的因子对称群?本文证明了偶数阶完全图的路分解的因子对称群是循环群.
F.Harary posed on an open problem as follows: which finite permutation groups are the factor sysmmetric group of isomorphic partition for complete graph? In this paper we prove that the cyclic group of order n is one of those groups.
出处
《华东交通大学学报》
2007年第5期151-152,共2页
Journal of East China Jiaotong University
关键词
完全图
对称群
因子分解
complete graph
symetric group
factorization