No hexavalent half-arc-transitive graphs of order twice a prime square exist

作者：Zhang, Mi-Mi^*

来源：Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2018, 128(1): 3.

DOI：10.1007/s12044-018-0385-4

• Half-arc-transitive
• bi-Cayley graph
• vertex transitive
• edge transitive

A graph is half-arc-transitive if its automorphism group acts transitively on its vertex set and edge set, but not arc set. Let p be a prime. Wang and Feng (Discrete Math. 310 (2010) 1721-1724) proved that there exists no tetravalent half-arc-transitive graphs of order 2p(2). In this paper, we extend this result to prove that no hexavalent half-arc-transitive graphs of order 2p(2) exist.

• 出版日期2018-2
• 单位北京交通大学