Paper Info
Title
Arc-Transitive Abelian Regular Covering Graphs
Abstract
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.
Year
DOI
Venue
2016
10.1142/S0218196716500594
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
Keywords
Field
DocType
Arc-transitive graph, regular cover, abelian cover
Discrete mathematics,Abelian group,Combinatorics,Free abelian group,Algebra,Elementary abelian group,G-module,Arithmetic of abelian varieties,Abelian category,Rank of an abelian group,Mathematics,Torsion subgroup
Journal
Volume
Issue
ISSN
26
7
0218-1967
Citations 
PageRank 
References 
0
0.34
2
Authors
1
Name
Order
Citations
PageRank
Jicheng Ma102.70