Enumeration of Labeled Bicyclic and Tricyclic Eulerian Graphs
Matematičeskie zametki, Tome 92 (2012) no. 5, pp. 678-683.

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Explicit formulas for the number of labeled bicyclic and tricyclic Eulerian graphs and for the number of labeled tricyclic Eulerian blocks are obtained. Many-vertex asymptotics for these numbers are found.
Keywords: labeled Eulerian graph, bicyclic Eulerian graph, tricyclic Eulerian graph, Eulerian block, enumeration of graphs, generating function.
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V. A. Voblyi. Enumeration of Labeled Bicyclic and Tricyclic Eulerian Graphs. Matematičeskie zametki, Tome 92 (2012) no. 5, pp. 678-683. http://geodesic.mathdoc.fr/item/MZM_2012_92_5_a3/

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