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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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| 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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Algebra and Discrete Mathematics| _version_ | 1856543235149660160 |
|---|---|
| author | Talebi, A. A. Mehdipoor, N. |
| author_facet | Talebi, A. A. Mehdipoor, N. |
| author_sort | Talebi, A. A. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-16T05:04:06Z |
| 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 \(p\). |
| first_indexed | 2025-12-02T15:29:43Z |
| format | Article |
| id | admjournalluguniveduua-article-1163 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:29:43Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | 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 |
| 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 \( 22p^{2}\) |
| title | 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_short | Classifying cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\) |
| title_sort | classifying cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\) |
| topic | \(s\)-regular graphs \(s\)-arc-transitive graphs symmetric graphs regular covering 05C25 20b25 |
| topic_facet | \(s\)-regular graphs \(s\)-arc-transitive graphs symmetric graphs regular covering 05C25 20b25 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1163 |
| work_keys_str_mv | AT talebiaa classifyingcubicsregulargraphsoforders22pand22p2 AT mehdipoorn classifyingcubicsregulargraphsoforders22pand22p2 |