Geodesic
New identities from enumeration of graphs
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 3, Tome 229 (2023), pp. 33-36

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In this paper, three new combinatorial identities related to the enumeration of labeled connected graphs with a given number of endpoints are presented. We give a proof of these identities independent of the enumeration of graphs. For one of the identities, a course of the proof based on formulas for enumerating graphs is outlined.
Keywords: combinatorial identity, enumeration, labeled graph, connected graph, endpoint
Mots-clés : unicyclic graph. 
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     author = {V. A. Voblyi},
     title = {New identities from enumeration of graphs},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {33--36},
     publisher = {mathdoc},
     volume = {229},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_229_a3/}
}
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V. A. Voblyi. New identities from enumeration of graphs. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 3, Tome 229 (2023), pp. 33-36. http://geodesic.mathdoc.fr/item/INTO_2023_229_a3/