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math.AC2015★ 18 cited
Parity binomial edge ideals
Thomas Kahle, Camilo Sarmiento, Tobias Windisch
Parity binomial edge ideals of simple undirected graphs are introduced. Unlike binomial edge ideals, they do not have square-free Gröbner bases and are radical if only if the graph…
math.AC2012
Betti numbers of cut ideals of trees
Samu Potka, Camilo Sarmiento
Cut ideals, introduced by Sturmfels and Sullivant, are used in phylogenetics and algebraic statistics. We study the minimal free resolutions of cut ideals of tree graphs. By employ…