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Bulletin of Irkutsk State University. Series Mathematics, 2024, Volume 50, Pages 116–124
DOI: https://doi.org/10.26516/1997-7670.2024.50.116 (Mi iigum588) 		 
Algebraic and logical methods in computer science and artificial intelligence

A note on pseudofinite acyclic graphs

N. D. Markhabatovab, Y. R. Baissalova

a L. N. Gumilyov Eurasian National University, Astana, Kazakhstan
b Kazakh-British Technical University, Alma-Ata, Kazakhstan
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DOI: https://doi.org/10.26516/1997-7670.2024.50.116
Abstract: Acyclic graphs approximated by finite acyclic graphs are considered. It is proved that any countably categorical acyclic graph is smoothly approximable. An example of pseudofinite acyclic graph theory is given, which has an even, odd, and infinite number of rays.
Keywords: approximation of theory, tree, acyclic graph, pseudofinite theory, smoothly approximated structure, pseudofinite graph.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP19677451
AP19674850
The study was financially supported by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan (Project No. AP19677451 (Section 3, second author), Project No. AP19674850 (Section 2, first author)).
Received: 03.04.2024
Accepted: 30.07.2024
Document Type: Article
UDC: 510.67, 519.17
MSC: 03C50,05C25
Language: English
Citation: N. D. Markhabatov, Y. R. Baissalov, “A note on pseudofinite acyclic graphs”, Bulletin of Irkutsk State University. Series Mathematics, 50 (2024), 116–124
Citation in format AMSBIB
\Bibitem{MarBai24}
\by N.~D.~Markhabatov, Y.~R.~Baissalov
\paper A note on pseudofinite acyclic graphs
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2024
\vol 50
\pages 116--124
\mathnet{http://mi.mathnet.ru/iigum588}
\crossref{https://doi.org/10.26516/1997-7670.2024.50.116}
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