17 citations · 22 across the 8 of their papers we have counts for
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Random Monomial Ideals Macaulay2 Package
Sonja Petrović, Despina Stasi, Dane Wilburne
The {\tt Macaulay2} package {\tt RandomMonomialIdeals} provides users with a set of tools that allow for the systematic generation and study of random monomial ideals. It also intr…
Random Monomial Ideals
Jesus A. De Loera, Sonja Petrovic, Lily Silverstein +2
Inspired by the study of random graphs and simplicial complexes, and motivated by the need to understand average behavior of ideals, we propose and study probabilistic models of ra…
Toric algebra of hypergraphs
Sonja Petrović, Despina Stasi
The edges of any hypergraph parametrize a monomial algebra called the edge subring of the hypergraph. We study presentation ideals of these edge subrings, and describe their genera…