Geodesic
A new formula for the number of labeled series-parallel graphs
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 182 (2020), pp. 10-13

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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
Mots-clés : explicit formula. 
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     author = {V. A. Voblyi},
     title = {A new formula for the number of labeled series-parallel graphs},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {10--13},
     publisher = {mathdoc},
     volume = {182},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_182_a1/}
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V. A. Voblyi. A new formula for the number of labeled series-parallel graphs. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 182 (2020), pp. 10-13. http://geodesic.mathdoc.fr/item/INTO_2020_182_a1/