Geodesic
The endomorphism monoids of ($n-3$)-regular graphs of order $n$
Algebra and discrete mathematics, Tome 22 (2016) no. 2, pp. 284-300

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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 $n$.
Keywords: complement of cycle, join, endomorphism monoid, completely regular
Mots-clés : orthodox. 
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     title = {The endomorphism monoids of ($n-3$)-regular graphs of order $n$},
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N. Pipattanajinda; U. Knauer; B. Gyurov; S. Panma. The endomorphism monoids of ($n-3$)-regular graphs of order $n$. Algebra and discrete mathematics, Tome 22 (2016) no. 2, pp. 284-300. http://geodesic.mathdoc.fr/item/ADM_2016_22_2_a8/