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Diskretnyi Analiz i Issledovanie Operatsii, 2013, Volume 20, Issue 6, Pages 40–58 (Mi da752)  
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic enumeration of Eulerian orientations for graphs with strong mixing properties

M. I. Isaevab, K. V. Isaevaba

a Moscow Institute of Physics and Technology, 9 Institute Lane, 141700 Dolgoprudny, Russia
b Centre de Mathématiques Appliquées, École Polytechnique, 91128 Palaiseau, France
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Abstract: We prove an asymptotic formula for the number of Eulerian orientations for graphs with strong mixing properties and with vertices having even degrees. The exact value is determined up to the multiplicative error $O(n^{1+\varepsilon})$, where $n$ is the number of vertices. Bibliogr. 14.
Keywords: Eulerian orientation, asymptotic analysis, Gaussian integral, algebraic connectivity, Laplacian.
Received: 17.10.2012
Revised: 29.03.2013
Bibliographic databases:
Document Type: Article
UDC: 519.1
Language: Russian
Citation: M. I. Isaev, K. V. Isaeva, “Asymptotic enumeration of Eulerian orientations for graphs with strong mixing properties”, Diskretn. Anal. Issled. Oper., 20:6 (2013), 40–58
Citation in format AMSBIB
\Bibitem{IsaIsa13}
\by M.~I.~Isaev, K.~V.~Isaeva
\paper Asymptotic enumeration of Eulerian orientations for graphs with strong mixing properties
\jour Diskretn. Anal. Issled. Oper.
\yr 2013
\vol 20
\issue 6
\pages 40--58
\mathnet{http://mi.mathnet.ru/da752}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3185263}
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  • https://www.mathnet.ru/eng/da/v20/i6/p40
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    References:47
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