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Towards random uniform sampling of bipartite graphs with given degree sequence

Miklós, István and Erdős, Péter and Soukup, Lajos (2013) Towards random uniform sampling of bipartite graphs with given degree sequence. ELECTRONIC JOURNAL OF COMBINATORICS, 20 (1). ISSN 1077-8926

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Abstract

In this paper we consider a simple Markov chain for bipartite graphs with given degree sequence on n vertices. We show that the mixing time of this Markov chain is bounded above by a polynomial in n in case of half-regular degree sequence. The novelty of our approach lies in the construction of the multicommodity flow in Sinclair's method.

Item Type: Article
Uncontrolled Keywords: Regular graphs
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 06 Feb 2014 05:32
Last Modified: 08 Feb 2014 08:04
URI: http://real.mtak.hu/id/eprint/9898

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