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arXiv · 1004.2612

Towards random uniform sampling of bipartite graphs with given degree sequence

Péter L. Erdös·Istán Miklós·Lajos Soukup
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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 {\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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Péter L. Erdös, Istán Miklós, Lajos Soukup. 2012-10-16. Towards random uniform sampling of bipartite graphs with given degree sequence. https://arxiv.org/abs/1004.2612

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