28 citations · 336 across the 38 of their papers we have counts for
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math.AC2015★ 14 cited
Irreducible decomposition of binomial ideals
Thomas Kahle, Ezra Miller, Christopher O'Neill
Building on coprincipal mesoprimary decomposition [Kahle and Miller, 2014], we combinatorially construct an irreducible decomposition of any given binomial ideal. In a parallel man…
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…