The Endomorphism Monoids of (n − 3)-regular Graphs of Order n

• Дата: 2016
• Автори: Gyurov, Boyko, Knauer, Ulrich, Panma, Sayan, Pipattanajinda, Nirutt
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2016
• Теми: Complement of cycle; join; endomorphism monoid; complectly regular; orthodox; 05C25; 05C38
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/351
• Назва журналу: Algebra and Discrete Mathematics

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...