17 citations · 48 across the 14 of their papers we have counts for
4 papers · 1 filter
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…
models for random hypergraphs with a given degree sequence
Despina Stasi, Kayvan Sadeghi, Alessandro Rinaldo +2
We introduce the beta model for random hypergraphs in order to represent the occurrence of multi-way interactions among agents in a social network. This model builds upon and gener…
Fibers of multi-way contingency tables given conditionals: relation to marginals, cell bounds and Markov bases
Aleksandra B. Slavković, Xiaotian Zhu, Sonja Petrović
A reference set, or a fiber, of a contingency table is the space of all realizations of the table under a given set of constraints such as marginal totals. Understanding the geomet…
On the Existence of the MLE for a Directed Random Graph Network Model with Reciprocation
A. Rinaldo, S. Petrović, S. E. Fienberg
Holland and Leinhardt (1981) proposed a directed random graph model, the p1 model, to describe dyadic interactions in a social network. In previous work (Petrovic et al., 2010), we…