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, 2022, Volume 208, Pages 11–14
DOI: https://doi.org/10.36535/0233-6723-2022-208-11-14 (Mi into989) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Two combinatorial identities related to 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/10.36535/0233-6723-2022-208-11-14
Abstract: From the explicit formula for the number of labeled, series-parallel, $2$-connected graphs with a given number of vertices obtained by the author, two combinatorial identities are derived. Also, proofs of these identities independent of the enumeration of graphs are given.
Keywords: combinatorial identity, method of coefficients, enumeration, series-parallel graph, 2-connected graph.
Document Type: Article
UDC: 519.117, 519.175.3
MSC: 05A19, 05C30
Language: Russian
Citation: V. A. Voblyi, “Two combinatorial identities related to enumeration of graphs”, Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 208, VINITI, Moscow, 2022, 11–14
Citation in format AMSBIB
\Bibitem{Vob22}
\by V.~A.~Voblyi
\paper Two combinatorial identities related to enumeration of graphs
\inbook Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 208
\pages 11--14
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into989}
\crossref{https://doi.org/10.36535/0233-6723-2022-208-11-14}
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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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