Classifying cubic symmetric graphs of order 18p2

Armenian Journal of Mathematics

View Publication Info
 
 
Field Value
 
Title Classifying cubic symmetric graphs of order 18p2
 
Creator Alaeiyan, Mehdi
Hosseinipoor, Mohammad Kazem
Akbarizadeh, Masoumeh
 
Subject Symmetric graphs
$s$-regular graphs regular coverings
05C10
05C25
 
Description A $s$-arc in a graph is an ordered $(s+1)$-tuple $(v_{0}, v_{1}, \cdots, v_{s-1}, v_{s})$ of vertices such that $v_{i-1}$ is adjacent to $v_{i}$ for $1\leq i \leq s$ and $v_{i-1}\neq v_{i+1}$ for $1\leq i < s$. A graph $X$ is called $s$-regular if its automorphism group acts regularly on the set of its $s$-arcs. In this paper, we classify all connected cubic $s$-regular graphs of order $18p^2$ for each $s\geq1$ and each prime $p$.
 
Publisher National Academy of Sciences of Armenia
 
Date 2020-03-28
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier http://armjmath.sci.am/index.php/ajm/article/view/305
 
Source Armenian Journal of Mathematics; Vol. 12 No. 1 (2020): Classifying cubic symmetric graphs of order $18p^2$; 1-11
1829-1163
 
Language eng
 
Relation http://armjmath.sci.am/index.php/ajm/article/view/305/154
 
Rights Copyright (c) 2020 Armenian Journal of Mathematics
 

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