Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 229, Pages 33–36
DOI: https://doi.org/10.36535/0233-6723-2023-229-33-36 (Mi into1233) 		 
This article is cited in 1 scientific paper (total in 1 paper)

New identities from enumeration of graphs

V. A. Voblyi

All-Russian Institute for Scientific and Technical Information of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.36535/0233-6723-2023-229-33-36
Abstract: 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, unicyclic graph.
Document Type: Article
UDC: 519.175.3
MSC: 05C30
Language: Russian
Citation: V. A. Voblyi, “New identities from enumeration of graphs”, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 229, VINITI, Moscow, 2023, 33–36
Citation in format AMSBIB
\Bibitem{Vob23}
\by V.~A.~Voblyi
\paper New identities from enumeration of graphs
\inbook Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 229
\pages 33--36
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1233}
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    • This publication is cited in the following 1 articles:
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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