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Tailored graph ensembles as proxies or null models for real networks I: tools for quantifying structure

Tailored graph ensembles as proxies or null models for real networks I: tools for quantifying structure

We study the tailoring of structured random graph ensembles to real networks, with the objective of generating precise and practical mathematical tools for quantifying and comparing network topologies macroscopically, beyond the level of degree statistics.Our family of ensembles can produce graphs with any prescribed degree distribution and any degree-degree correlation …