Heptavalent Symmetric Graphs of Order 16p

• 来源期刊: 代数集刊（英文版）
• 关键词: symmetric graph s-transitive graph Cayley graph
• 年，卷（期）: 2017,（3）
• 页码范围: 453-466
• 页数: 14页
• 语种: 英文
• DOI: 10.1142/S1005386717000293

摘要

A graph is symmetric if its automorphism group acts transitively on the set of arcs of the graph.We classify connected heptavalent symmetric graphs of order 16p for each prime p.As a result,there are two such sporadic graphs with p =3 and 7,and an infinite family of 1-regular normal Cayley graphs on the group Z32 × D2p with 7|(p-1).