Classifying cubic symmetric graphs of order 18p2
Armenian Journal of Mathematics
View Publication Info| Field | Value | |
| Title |
Classifying cubic symmetric graphs of order 18p2
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| Creator |
Alaeiyan, Mehdi
Hosseinipoor, Mohammad Kazem Akbarizadeh, Masoumeh |
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| Subject |
Symmetric graphs
$s$-regular graphs regular coverings 05C10 05C25 |
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| 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 $p$.
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| Publisher |
National Academy of Sciences of Armenia
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| Date |
2020-03-28
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| Type |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion Peer-reviewed Article |
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| Format |
application/pdf
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| Identifier |
http://armjmath.sci.am/index.php/ajm/article/view/305
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| Source |
Armenian Journal of Mathematics; Vol. 12 No. 1 (2020): Classifying cubic symmetric graphs of order $18p^2$; 1-11
1829-1163 |
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| Language |
eng
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| Relation |
http://armjmath.sci.am/index.php/ajm/article/view/305/154
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| Rights |
Copyright (c) 2020 Armenian Journal of Mathematics
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