Exact alignment recovery for correlated Erd\H{o}s-R\'enyi graphs

Daniel Cullina; Negar Kiyavash

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arXiv · 1711.06783

Exact alignment recovery for correlated Erd\H{o}s-R\'enyi graphs

Daniel Cullina·Negar Kiyavash

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Abstract

We consider the problem of perfectly recovering the vertex correspondence between two correlated Erd\H{o}s-R\'enyi (ER) graphs on the same vertex set. The correspondence between the vertices can be obscured by randomly permuting the vertex labels of one of the graphs. We determine the information-theoretic threshold for exact recovery, i.e. the conditions under which the entire vertex correspondence can be correctly recovered given unbounded computational resources.

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Daniel Cullina, Negar Kiyavash. 2017-11-18. Exact alignment recovery for correlated Erd\H{o}s-R\'enyi graphs. https://arxiv.org/abs/1711.06783

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