The endomorphism monoids of (n − 3)-regular graphs of order n

© Journal “Algebra and Discrete Mathematics”. This paper is motivated by the result of W. Li, that 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, ortho...

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Bibliographic Details
Main Authors: Nirutt Pipattanajinda, Ulrich Knauer, Boyko Gyurov, Sayan Panma, V. Mazorchuk
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85016938384&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/55987
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Institution: Chiang Mai University
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Summary:© Journal “Algebra and Discrete Mathematics”. This paper is motivated by the result of W. Li, that 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 graphs of order n.