Pentavalent Symmetric Graphs of Order Twice a Prime Square

• 作者: Jiangmin Pan Xiaofen Yu Zhe Liu
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 对称图 平方 素数 五价 CAYLEY 分裂扩张 陪集图 阿贝尔
• 年，卷（期）: 2015,（3）
• 页码范围: 383-394
• 页数: 12页
• 分类号: O157.5
• 语种: 中文

摘要

A classification of pentavalent symmetric graphs of order twice a prime square is given. It is proved that such a graph is a coset graph of Z3.A6 (non-split extension), or a bi-coset graph of an extra-special group of order 125, or the standard double cover of a specific abelian Cayley digraph of order a prime square.