Regular Balanced Cayley Maps for Cyclic,Dihedral and Generalized Quaternion Groups  

作　　者：Yan WANG Rong Quan FENG 

机构地区：[1]Department of Mathematics, Yan Tai University, Yan Tai 264005. P. R. China [2]LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2005年第4期773-778,共6页数学学报（英文版）

基　　金：Supported by NSF of China(No.10001005) and Com~2MaC-KOSEF

摘　　要：A Cayley map is a Cayley graph embedded in an orientable surface such that. the local rotations at every vertex are identical. In this paper, balanced regular Cayley maps for cyclic groups, dihedral groups, and generalized quaternion groups are classified.A Cayley map is a Cayley graph embedded in an orientable surface such that. the local rotations at every vertex are identical. In this paper, balanced regular Cayley maps for cyclic groups, dihedral groups, and generalized quaternion groups are classified.

关 键 词：MAP Cayley map REGULAR BALANCED 

分 类 号：O152[理学—数学]