Paper Info
Title
On arc-transitive pentavalent graphs of order 2.
Abstract
A graph Γ is symmetric or arc-transitive if its automorphism group Aut(Γ) is transitive on the arc set of the graph. Let p be an odd prime. Pentavalent symmetric graphs of order 2pn with n ≥ 2 have been considered by Pan et al. in [Algebra Colloq. 22 (2015) 383-394] and by Feng et al. in [Discrete Math. 339 (2016) 2640-2651]. This paper gives a depiction of pentavalent symmetric graphs of order 2mpn for any integers m ≥ 2 and n ≥ 1. As an application, connected pentavalent symmetric graphs of order 16p, 8p2 and 8p3 are classified.
Year
DOI
Venue
2019
10.1016/j.amc.2019.02.074
Applied Mathematics and Computation
Keywords
DocType
Volume
Symmetric graph,Arc-transitive,Normal cover
Journal
355
ISSN
Citations 
PageRank 
0096-3003
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Dawei Yang162.79
Rongquan Feng211725.64
Xiao-Hui Hua300.68