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Matematicheskie Zametki, 2012, Volume 92, Issue 5, Pages 678–683
DOI: https://doi.org/10.4213/mzm9185 (Mi mzm9185) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Enumeration of Labeled Bicyclic and Tricyclic Eulerian Graphs

V. A. Voblyi

N. E. Bauman Moscow State Technical University
Full-text PDF (402 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm9185
Abstract: 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.
Received: 30.06.2011
English version:
Mathematical Notes, 2012, Volume 92, Issue 5, Pages 619–623
DOI: https://doi.org/10.1134/S0001434612110041
Bibliographic databases:
Document Type: Article
UDC: 517.175.3
Language: Russian
Citation: V. A. Voblyi, “Enumeration of Labeled Bicyclic and Tricyclic Eulerian Graphs”, Mat. Zametki, 92:5 (2012), 678–683; Math. Notes, 92:5 (2012), 619–623
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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