Arc-Transitive Pentavalent Graphs of Square-Free Order

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 2 pq and of order 2 pqr (with p ,  q ,  r distinct odd primes), respectively. In this paper, we extend their results by giving a classification of...

Full description

Saved in:
Bibliographic Details
Published in:Graphs and combinatorics 2016-11, Vol.32 (6), p.2355-2366
Main Authors: Ding, Suyun, Ling, Bo, Lou, Bengong, Pan, Jiangmin
Format: Article
Language:English
Subjects:
Classification
Combinatorial analysis
Combinatorics
Engineering Design
Graphs
Mathematics
Mathematics and Statistics
Original Paper
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 2 pq and of order 2 pqr (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.
ISSN:0911-0119
1435-5914
DOI:10.1007/s00373-016-1717-8