Classifying cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\)
A graph is \(s\)-regular if its automorphism group acts regularly on the set of \(s\)-arcs. In this study, we classify the connected cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\) for each \( s \geq 1 \), and each prime \(p\).
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| Date: | 2018 |
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| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1163 |
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| Journal Title: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-11632018-05-16T05:04:06Z Classifying cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\) Talebi, A. A. Mehdipoor, N. \(s\)-regular graphs, \(s\)-arc-transitive graphs, symmetric graphs, regular covering 05C25, 20b25 A graph is \(s\)-regular if its automorphism group acts regularly on the set of \(s\)-arcs. In this study, we classify the connected cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\) for each \( s \geq 1 \), and each prime \(p\). Lugansk National Taras Shevchenko University 2018-05-16 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1163 Algebra and Discrete Mathematics; Vol 16, No 2 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1163/655 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-05-16T05:04:06Z |
| collection |
OJS |
| language |
English |
| topic |
\(s\)-regular graphs \(s\)-arc-transitive graphs symmetric graphs regular covering 05C25 20b25 |
| spellingShingle |
\(s\)-regular graphs \(s\)-arc-transitive graphs symmetric graphs regular covering 05C25 20b25 Talebi, A. A. Mehdipoor, N. Classifying cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\) |
| topic_facet |
\(s\)-regular graphs \(s\)-arc-transitive graphs symmetric graphs regular covering 05C25 20b25 |
| format |
Article |
| author |
Talebi, A. A. Mehdipoor, N. |
| author_facet |
Talebi, A. A. Mehdipoor, N. |
| author_sort |
Talebi, A. A. |
| title |
Classifying cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\) |
| title_short |
Classifying cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\) |
| title_full |
Classifying cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\) |
| title_fullStr |
Classifying cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\) |
| title_full_unstemmed |
Classifying cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\) |
| title_sort |
classifying cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\) |
| description |
A graph is \(s\)-regular if its automorphism group acts regularly on the set of \(s\)-arcs. In this study, we classify the connected cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\) for each \( s \geq 1 \), and each prime \(p\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1163 |
| work_keys_str_mv |
AT talebiaa classifyingcubicsregulargraphsoforders22pand22p2 AT mehdipoorn classifyingcubicsregulargraphsoforders22pand22p2 |
| first_indexed |
2025-12-02T15:29:43Z |
| last_indexed |
2025-12-02T15:29:43Z |
| _version_ |
1850412040571584512 |