Arc-Transitive Pentavalent Graphs of Square-Free Order

作者：Ding, Suyun; Ling, Bo; Lou, Bengong; Pan, Jiangmin^*

来源：Graphs and Combinatorics, 2016, 32(6): 2355-2366.

DOI：10.1007/s00373-016-1717-8

• Arc-transitive graph
• Normal quotient graph
• Automorphism group

Hua et al. (Discrete Math 311, 2259-2267, 2011) and Yang et al. (Discrete Math. 339, 522-532, 2016) classify arc-transitive pentavalent graphs of order 2pq and of order 2pqr (with p, q, r distinct odd primes), respectively. In this paper, we extend their results by giving a classification of arc-transitive pentavalent graphs of any square-free order.

• 出版日期2016-11
• 单位云南财经大学; 云南大学