Title

Phase Transitions in Edge-Weighted Exponential Random Graphs: Near-Degeneracy and Universality

Document Type

Article

Publication Date

2-28-2018

Keywords

Exponential random graphs, Edge-weighted, Near-degeneracy, Universality

Organizational Units

College of Natual Science and Mathematics, Mathematics

Abstract

Conventionally used exponential random graphs cannot directly model weighted networks as the underlying probability space consists of simple graphs only. Since many substantively important networks are weighted, this limitation is especially problematic. We extend the existing exponential framework by proposing a generic common distribution for the edge weights. Minimal assumptions are placed on the distribution, that is, it is non-degenerate and supported on the unit interval. By doing so, we recognize the essential properties associated with near-degeneracy and universality in edge-weighted exponential random graphs.

Publication Statement

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