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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Бібліографічні деталі
Дата:2018
Автори: Imani, A., Mehdipoor, N., Talebi, Asghar
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2018
Теми:
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/168
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-168
record_format ojs
spelling 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
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 2024-04-12T06:25:39Z
last_indexed 2024-04-12T06:25:39Z
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