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arXiv · 1605.06137

Perfect Matchings in Inhomogeneous Random Bipartite Graphs in Random Environment

Jairo Bochi·Godofredo Iommi·Mario Ponce
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Abstract

In this note we study inhomogeneous random bipartite graphs in random environment. These graphs can be thought of as an extension of the classical Erdös-Rényi random graphs in a random environment. We show that the expected number of perfect matchings obeys a precise quenched asymptotic and that it can be approximated using an iterative process that converges exponentially fast.

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Jairo Bochi, Godofredo Iommi, Mario Ponce. 2016-11-28. Perfect Matchings in Inhomogeneous Random Bipartite Graphs in Random Environment. https://arxiv.org/abs/1605.06137

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