Nonorientable regular embeddings of graphs of order pq

作者：Wang FuRong; Du ShaoFei^*

来源：Science China Mathematics, 2011, 54(2): 351-363.

DOI：10.1007/s11425-010-4094-4

• regular embedding
• arc-transitive graph
• permutation group

In [J. Algeb. Combin. 19(2004), 123-141], Du et al. classified the orientable regular embeddings of connected simple graphs of order pq for any two primes p and q. In this paper, we shall classify the nonorientable regular embeddings of these graphs, where p not equal q. Our classification depends on the classification of primitive permutation groups of degree p and degree pq but is independent of the classification of the arc-transitive graphs of order pq.

• 出版日期2011-2
• 单位北京物资学院; 首都师范大学