On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\)
A graph is \(s\)-regular if its automorphism group acts regularly on the set of \(s\)-arcs. In this paper, by applying concept linear algebra, we classify the connected cubic s-regular graphs of order \(28p\) for each \( s \geq 1 \), and prime \(p\).
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Lugansk National Taras Shevchenko University
2018
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Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-1682018-05-17T07:54:05Z On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) Imani, A. Mehdipoor, N. Talebi, Asghar \(S\)-regular graphs, Homology group, Coxeter graph, 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 paper, by applying concept linear algebra, we classify the connected cubic s-regular graphs of order \(28p\) for each \( s \geq 1 \), and prime \(p\). Lugansk National Taras Shevchenko University 2018-04-27 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/168 Algebra and Discrete Mathematics; Vol 25, No 1 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/168/pdf Copyright (c) 2018 Algebra and Discrete Mathematics |
institution |
Algebra and Discrete Mathematics |
baseUrl_str |
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datestamp_date |
2018-05-17T07:54:05Z |
collection |
OJS |
language |
English |
topic |
\(S\)-regular graphs Homology group Coxeter graph Symmetric graphs Regular covering 05C25 20B25 |
spellingShingle |
\(S\)-regular graphs Homology group Coxeter graph Symmetric graphs Regular covering 05C25 20B25 Imani, A. Mehdipoor, N. Talebi, Asghar On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) |
topic_facet |
\(S\)-regular graphs Homology group Coxeter graph Symmetric graphs Regular covering 05C25 20B25 |
format |
Article |
author |
Imani, A. Mehdipoor, N. Talebi, Asghar |
author_facet |
Imani, A. Mehdipoor, N. Talebi, Asghar |
author_sort |
Imani, A. |
title |
On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) |
title_short |
On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) |
title_full |
On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) |
title_fullStr |
On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) |
title_full_unstemmed |
On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) |
title_sort |
on application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) |
description |
A graph is \(s\)-regular if its automorphism group acts regularly on the set of \(s\)-arcs. In this paper, by applying concept linear algebra, we classify the connected cubic s-regular graphs of order \(28p\) for each \( s \geq 1 \), and prime \(p\). |
publisher |
Lugansk National Taras Shevchenko University |
publishDate |
2018 |
url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/168 |
work_keys_str_mv |
AT imania onapplicationoflinearalgebrainclassificationcubicsregulargraphsoforder28p AT mehdipoorn onapplicationoflinearalgebrainclassificationcubicsregulargraphsoforder28p AT talebiasghar onapplicationoflinearalgebrainclassificationcubicsregulargraphsoforder28p |
first_indexed |
2025-07-17T10:31:01Z |
last_indexed |
2025-07-17T10:31:01Z |
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