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math.ST2016★ 2 cited
On the Geometry and Extremal Properties of the Edge-Degeneracy Model
Nicolas Kim, Dane Wilburne, Sonja Petrović +1
The edge-degeneracy model is an exponential random graph model that uses the graph degeneracy, a measure of the graph's connection density, and number of edges in a graph as its su…
math.ST2014
Statistical models for cores decomposition of an undirected random graph
Vishesh Karwa, Michael J. Pelsmajer, Sonja Petrović +2
The -core decomposition is a widely studied summary statistic that describes a graph's global connectivity structure. In this paper, we move beyond using -core decomposition…