Local Large deviations for empirical locality measure of typed Random Graph Models

Kwabena Doku-Amponsah

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arXiv · 1708.03895

Local Large deviations for empirical locality measure of typed Random Graph Models

Kwabena Doku-Amponsah

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Abstract

In this article, we prove a local large deviation principle (LLDP) for the empirical locality measure of typed random networks on $n$ nodes conditioned to have a given \emph{ empirical type measure} and \emph{ empirical link measure.} From the LLDP, we deduce a full large deviation principle for the typed random graph, and the classical Erdos-Renyi graphs, where $nc/2$ links are inserted at random among $n$ nodes. No topological restrictions are required for these results.

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Kwabena Doku-Amponsah. 2017-08-13. Local Large deviations for empirical locality measure of typed Random Graph Models. https://arxiv.org/abs/1708.03895

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