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Perfect Matchings in Inhomogeneous Random Bipartite Graphs in Random Environment

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.

preprint2016arXivOpen access
Jairo BochiGodofredo IommiMario Ponce
math.COmath.PR
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Jairo BochiGodofredo IommiMario Ponce

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