Geodesic
A note on pseudofinite acyclic graphs
The Bulletin of Irkutsk State University. Series Mathematics, Tome 50 (2024), pp. 116-124

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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
Mots-clés : pseudofinite graph. 
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N. D. Markhabatov; Y. R. Baissalov. A note on pseudofinite acyclic graphs. The Bulletin of Irkutsk State University. Series Mathematics, Tome 50 (2024), pp. 116-124. http://geodesic.mathdoc.fr/item/IIGUM_2024_50_a7/