Asymptotic enumeration of Eulerian orientations for graphs with strong mixing properties - Archive ouverte HAL
Article Dans Une Revue Journal of Applied and Industrial Mathematics / Sibirskii Zhurnal Industrial'noi Matematiki and Diskretnyi Analiz i Issledovanie Operatsii Année : 2013

Asymptotic enumeration of Eulerian orientations for graphs with strong mixing properties

Résumé

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+epsilon}), where n is the number of vertices.
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Dates et versions

hal-00730657 , version 1 (10-09-2012)
hal-00730657 , version 2 (14-12-2013)

Identifiants

  • HAL Id : hal-00730657 , version 2

Citer

Mikhail Isaev, Isaeva Kseniia. Asymptotic enumeration of Eulerian orientations for graphs with strong mixing properties. Journal of Applied and Industrial Mathematics / Sibirskii Zhurnal Industrial'noi Matematiki and Diskretnyi Analiz i Issledovanie Operatsii, 2013, 20 (6), pp.40-58. ⟨hal-00730657v2⟩
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