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.

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