Arc-transitive abelian regular covering graphs

作者：Ma, Jicheng^*

来源：International Journal of Algebra and Computation, 2016, 26(7): 1369-1393.

DOI：10.1142/S0218196716500594

• Arc-transitive graph
• regular cover
• abelian cover

A lot of attention has been paid recently to the construction of symmetric covers of symmetric graphs. After a new approach given by Conder and the author [Arc-transitive abelian regular covers of cubic graphs, J. Algebra 387 (2013) 215-242], the group of covering transformations can be extended to more general abelian groups rather than cyclic or elementary abelian groups. In this paper, by using the Conder-Ma approach, we investigate the symmetric covers of 4-valent symmetric graphs. As an application, all the arc-transitive abelian regular covers of the 4-valent complete graph K-5 which can be obtained by lifting the arc-transitive subgroups of automorphisms A(5) and AGL(1, 5) are classified.

• 出版日期2016-11
• 单位重庆文理学院