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math.AC2012★ 1 cited
Graphical models in Macaulay2
Luis David García-Puente, Sonja Petrović, Seth Sullivant
The Macaulay2 package GraphicalModels contains algorithms for the algebraic study of graphical models associated to undirected, directed and mixed graphs, and associated collection…
math.AC2008★ 6 cited
Properties of cut ideals associated to ring graphs
Uwe Nagel, Sonja Petrović
A cut ideal of a graph records the relations among the cuts of the graph. These toric ideals have been introduced by Sturmfels and Sullivant who also posed the problem of relating…
math.AC2007
On the universal Gröbner bases of varieties of minimal degree
Sonja Petrović
A universal Gröbner basis of an ideal is the union of all its reduced Gröbner bases. It is contained in the Graver basis, the set of all primitive elements. Obtaining an explicit d…