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math.AC2017★ 1 cited
Minimal Free Resolutions of Domino Tilings
Rachelle R. Bouchat, Tricia Muldoon Brown
We introduce a squarefree monomial ideal associated to the set of domino tilings of a rectangle and proceed to study the associated minimal free resolution. In this pap…
math.AC2010★ 1 cited
Path ideals of rooted trees and their graded Betti numbers
Rachelle R. Bouchat, Huy Tai Ha, Augustine O'Keefe
Let be a rooted tree and let be a positive integer. We study algebraic invariants and properties of the path ideal generated by monomial corresponding to paths of length $(…