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, 2020, Volume 182, Pages 10–13
DOI: https://doi.org/10.36535/0233-6723-2020-182-10-13
(Mi into666)
 

A new formula for the number of labeled series-parallel graphs

V. A. Voblyi

All-Russian Institute for Scientific and Technical Information of Russian Academy of Sciences, Moscow
References:
Abstract: A series-parallel graph is a graph that does not contain a complete graph with 4 vertices as a minor. A new explicit simpler formula for the number of labeled series-parallel 2-connected graphs with a given number of vertices is obtained.
Keywords: enumeration, labeled graph, series-parallel graph, 2-connected graph, explicit formula.
Bibliographic databases:
Document Type: Article
UDC: 519.175.3
MSC: 05C30
Language: Russian
Citation: V. A. Voblyi, “A new formula for the number of labeled series-parallel graphs”, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 182, VINITI, Moscow, 2020, 10–13
Citation in format AMSBIB
\Bibitem{Vob20}
\by V.~A.~Voblyi
\paper A new formula for the number of labeled series-parallel graphs
\inbook Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 182
\pages 10--13
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into666}
\crossref{https://doi.org/10.36535/0233-6723-2020-182-10-13}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4208394}
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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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