The Endomorphism Monoids of (n − 3)-regular Graphs of Order n
This paper is motivated by the result of W. Li, he presents an infinite family of graphs - complements of cycles - which possess a regular monoid. We show that these regular monoids are completely regular. Furthermore, we characterize the regular, orthodox and completely regular endomorphisms of the...
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| Дата: | 2016 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2016
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/351 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-3512016-12-30T22:42:45Z The Endomorphism Monoids of (n − 3)-regular Graphs of Order n Gyurov, Boyko Knauer, Ulrich Panma, Sayan Pipattanajinda, Nirutt Complement of cycle; join; endomorphism monoid; complectly regular; orthodox 05C25, 05C38 This paper is motivated by the result of W. Li, he presents an infinite family of graphs - complements of cycles - which possess a regular monoid. We show that these regular monoids are completely regular. Furthermore, we characterize the regular, orthodox and completely regular endomorphisms of the join of complements of cycles, i.e. (n−3)-regular graph of order n. Lugansk National Taras Shevchenko University 2016-12-31 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/351 Algebra and Discrete Mathematics; Vol 22, No 2 (2016) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/351/pdf Copyright (c) 2016 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
Complement of cycle; join; endomorphism monoid; complectly regular; orthodox 05C25 05C38 |
| spellingShingle |
Complement of cycle; join; endomorphism monoid; complectly regular; orthodox 05C25 05C38 Gyurov, Boyko Knauer, Ulrich Panma, Sayan Pipattanajinda, Nirutt The Endomorphism Monoids of (n − 3)-regular Graphs of Order n |
| topic_facet |
Complement of cycle; join; endomorphism monoid; complectly regular; orthodox 05C25 05C38 |
| format |
Article |
| author |
Gyurov, Boyko Knauer, Ulrich Panma, Sayan Pipattanajinda, Nirutt |
| author_facet |
Gyurov, Boyko Knauer, Ulrich Panma, Sayan Pipattanajinda, Nirutt |
| author_sort |
Gyurov, Boyko |
| title |
The Endomorphism Monoids of (n − 3)-regular Graphs of Order n |
| title_short |
The Endomorphism Monoids of (n − 3)-regular Graphs of Order n |
| title_full |
The Endomorphism Monoids of (n − 3)-regular Graphs of Order n |
| title_fullStr |
The Endomorphism Monoids of (n − 3)-regular Graphs of Order n |
| title_full_unstemmed |
The Endomorphism Monoids of (n − 3)-regular Graphs of Order n |
| title_sort |
endomorphism monoids of (n − 3)-regular graphs of order n |
| description |
This paper is motivated by the result of W. Li, he presents an infinite family of graphs - complements of cycles - which possess a regular monoid. We show that these regular monoids are completely regular. Furthermore, we characterize the regular, orthodox and completely regular endomorphisms of the join of complements of cycles, i.e. (n−3)-regular graph of order n. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2016 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/351 |
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| first_indexed |
2024-04-12T06:27:25Z |
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2024-04-12T06:27:25Z |
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