The endomorphisms monoids of graphs of order \(n\) with a minimum degree \(n-3\)

We characterize the endomorphism monoids, \(End(G)\), of the generalized graphs \(G\) of order \(n\) with a minimum degree \(n-3\). Criteria for regularity, orthodoxy and complete regularity of those monoids based on the structure of \(G\) are given.

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Datum:2018
Hauptverfasser: Pipattanajinda, Nirutt, Knauer, Ulrich, Gyurov, Boyko, Panma, Sayan
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1061
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-1061
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spelling admjournalluguniveduua-article-10612018-04-26T02:40:33Z The endomorphisms monoids of graphs of order \(n\) with a minimum degree \(n-3\) Pipattanajinda, Nirutt Knauer, Ulrich Gyurov, Boyko Panma, Sayan Graph of order \(n\) which minimal degree \(n-3\), graph endomorphism, regular, orthodox, completely regular 05C25, 05C38 We characterize the endomorphism monoids, \(End(G)\), of the generalized graphs \(G\) of order \(n\) with a minimum degree \(n-3\). Criteria for regularity, orthodoxy and complete regularity of those monoids based on the structure of \(G\) are given. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1061 Algebra and Discrete Mathematics; Vol 18, No 2 (2014) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1061/583 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-26T02:40:33Z
collection OJS
language English
topic Graph of order \(n\) which minimal degree \(n-3\)
graph endomorphism
regular
orthodox
completely regular
05C25
05C38
spellingShingle Graph of order \(n\) which minimal degree \(n-3\)
graph endomorphism
regular
orthodox
completely regular
05C25
05C38
Pipattanajinda, Nirutt
Knauer, Ulrich
Gyurov, Boyko
Panma, Sayan
The endomorphisms monoids of graphs of order \(n\) with a minimum degree \(n-3\)
topic_facet Graph of order \(n\) which minimal degree \(n-3\)
graph endomorphism
regular
orthodox
completely regular
05C25
05C38
format Article
author Pipattanajinda, Nirutt
Knauer, Ulrich
Gyurov, Boyko
Panma, Sayan
author_facet Pipattanajinda, Nirutt
Knauer, Ulrich
Gyurov, Boyko
Panma, Sayan
author_sort Pipattanajinda, Nirutt
title The endomorphisms monoids of graphs of order \(n\) with a minimum degree \(n-3\)
title_short The endomorphisms monoids of graphs of order \(n\) with a minimum degree \(n-3\)
title_full The endomorphisms monoids of graphs of order \(n\) with a minimum degree \(n-3\)
title_fullStr The endomorphisms monoids of graphs of order \(n\) with a minimum degree \(n-3\)
title_full_unstemmed The endomorphisms monoids of graphs of order \(n\) with a minimum degree \(n-3\)
title_sort endomorphisms monoids of graphs of order \(n\) with a minimum degree \(n-3\)
description We characterize the endomorphism monoids, \(End(G)\), of the generalized graphs \(G\) of order \(n\) with a minimum degree \(n-3\). Criteria for regularity, orthodoxy and complete regularity of those monoids based on the structure of \(G\) are given.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1061
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