Towards random uniform sampling of bipartite graphs with given degree sequence

Mathematics – Combinatorics

Scientific paper

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35 pages, submitted for publication. In this version we explain explicitly our main contribution

Scientific paper

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 {\em
semi-regular} degree sequence. The novelty of our approach lays in the
construction of the canonical paths in Sinclair's method.

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