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Algebra and Discrete Mathematics, 2016, Volume 22, Issue 2, Pages 284–300 (Mi adm588)  
This article is cited in 4 scientific papers (total in 4 papers)

RESEARCH ARTICLE

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

N. Pipattanajindaa, U. Knauerb, B. Gyurovc, S. Panmad

a Program of Mathematics, Faculty of Science and Technology, Kamphaeng Phet Rajabhat University, Kamphaeng Phet 62000, THAILAND
b Institut für Mathematik, Carl von Ossietzky Universität, D-26111 Oldenburg, GERMANY
c School of Science and Technology, Georgia Gwinnett College, University System of Georgia, Lawrenceville, GA 30043, USA
d Department of Mathematics, Faculty of Sciences, Chiang ai University, Chiang Mai 50200, THAILAND
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Abstract: 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, orthodox.
Received: 16.03.2012
Revised: 03.03.2015
Bibliographic databases:
Document Type: Article
MSC: 05C25, 05C38
Language: English
Citation: N. Pipattanajinda, U. Knauer, B. Gyurov, S. Panma, “The endomorphism monoids of ($n-3$)-regular graphs of order $n$”, Algebra Discrete Math., 22:2 (2016), 284–300
Citation in format AMSBIB
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\by N.~Pipattanajinda, U.~Knauer, B.~Gyurov, S.~Panma
\paper The endomorphism monoids of ($n-3$)-regular graphs of order $n$
\jour Algebra Discrete Math.
\yr 2016
\vol 22
\issue 2
\pages 284--300
\mathnet{http://mi.mathnet.ru/adm588}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3593125}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000392709600009}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
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