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Diskretnaya Matematika, 2006, Volume 18, Issue 3, Pages 115–119
DOI: https://doi.org/10.4213/dm64 (Mi dm64) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Endomorphisms of functional graphs

V. A. Kolmykov
Full-text PDF (560 kB) Citations (6)
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DOI: https://doi.org/10.4213/dm64
Abstract: A functional graph is a digraph describing the action of a function on a set. The endomorphisms of such graphs are of interest in group theory: the centraliser of an element of the semigroup of all mappings of a set into itself coincides with the set of all endomorphisms of a digraph corresponding to this element.
In this study, the functional graphs with a countable set of vertices are considered. We introduce the notion of lineals and calculate the cardinality of the set of endomorphisms of functional graphs which are not lineals.
Received: 30.11.2004
English version:
Discrete Mathematics and Applications, 2006, Volume 16, Issue 4, Pages 423–427
DOI: https://doi.org/10.1515/156939206778609732
Bibliographic databases:
UDC: 519.175
Language: Russian
Citation: V. A. Kolmykov, “Endomorphisms of functional graphs”, Diskr. Mat., 18:3 (2006), 115–119; Discrete Math. Appl., 16:4 (2006), 423–427
Citation in format AMSBIB
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\by V.~A.~Kolmykov
\paper Endomorphisms of functional graphs
\jour Diskr. Mat.
\yr 2006
\vol 18
\issue 3
\pages 115--119
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\transl
\jour Discrete Math. Appl.
\yr 2006
\vol 16
\issue 4
\pages 423--427
\crossref{https://doi.org/10.1515/156939206778609732}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846892572}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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