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Algebra and Discrete Mathematics, 2014, Volume 18, Issue 2, Pages 274–294 (Mi adm496)  
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

The endomorphisms monoids of graphs of order $n$ with a minimum degree $n-3$

Nirutt Pipattanajindaa, Ulrich Knauerb, Boyko Gyurovc, Sayan Panmad

a Faculty of Sciences and Technology, Kamphaeng Phet Rajabhat University
b Institut für Mathematik, Carl von Ossietzky University of Oldenburg
c School of Science and Technology, Georgia Gwinnett College, University System of Georgia
d Department of Mathematics, Faculty of Sciences, Chiang Mai Rajabhat University
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Abstract: We characterize the endomorphism monoids, $\operatorname{End}(G)$, of the generalized graphs $G$ of order $n$ with a minimum degree $n-3$. Criteria for regularity, orthodoxy and complete regularity of those monoids based on the structure of $G$ are given.
Keywords: graph of order $n$ which minimal degree $n-3$, graph endomorphism, regular, orthodox, completely regular.
Received: 16.03.2012
Revised: 19.08.2013
Bibliographic databases:
Document Type: Article
MSC: 05C25, 05C38
Language: English
Citation: Nirutt Pipattanajinda, Ulrich Knauer, Boyko Gyurov, Sayan Panma, “The endomorphisms monoids of graphs of order $n$ with a minimum degree $n-3$”, Algebra Discrete Math., 18:2 (2014), 274–294
Citation in format AMSBIB
\Bibitem{PipKnaGyu14}
\by Nirutt~Pipattanajinda, Ulrich~Knauer, Boyko~Gyurov, Sayan~Panma
\paper The endomorphisms monoids of graphs of order $n$ with a minimum degree $n-3$
\jour Algebra Discrete Math.
\yr 2014
\vol 18
\issue 2
\pages 274--294
\mathnet{http://mi.mathnet.ru/adm496}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3352713}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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