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math.AC2013
Cellular resolutions from mapping cones
Anton Dochtermann, Fatemeh Mohammadi
One can iteratively obtain a free resolution of any monomial ideal by considering the mapping cone of the map of complexes associated to adding one generator at a time. Herzog…
math.CO2013★ 13 cited
Divisors on graphs, binomial and monomial ideals, and cellular resolutions
Fatemeh Mohammadi, Farbod Shokrieh
We study various binomial and monomial ideals arising in the theory of divisors, orientations, and matroids on graphs. We use ideas from potential theory on graphs and from the the…