Rachelle R. Bouchat

activity

20102018

most citedPath ideals of rooted trees and their graded Betti numbers

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2018

Magic Polygons and Their Properties

Victoria Jakicic, Rachelle Bouchat

Magic squares are arrangements of natural numbers into square arrays, where the sum of each row, each column, and both diagonals is the same. In this paper, the concept of a magic…

math.AC2017★ 1 cited

Minimal Free Resolutions of $2 \times n$ Domino Tilings

Rachelle R. Bouchat, Tricia Muldoon Brown

We introduce a squarefree monomial ideal associated to the set of domino tilings of a $2 \times n$ 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 $Γ$ be a rooted tree and let $t$ be a positive integer. We study algebraic invariants and properties of the path ideal generated by monomial corresponding to paths of length $(…

Magic Polygons and Their Properties

Minimal Free Resolutions of 2×n Domino Tilings

Path ideals of rooted trees and their graded Betti numbers

Minimal Free Resolutions of $2 \times n$ Domino Tilings