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cs.CG2023
From Curves to Words and Back Again: Geometric Computation of Minimum-Area Homotopy
Hsien-Chih Chang, Brittany Terese Fasy, Bradley McCoy +2
Let be a generic closed curve in the plane. Samuel Blank, in his 1967 Ph.D. thesis, determined if is self-overlapping by geometrically constructing a combinatorial word fro…
cs.CG2022
Catching Polygons
Bradley McCoy, Eli Quist, Anna Schenfisch
Consider an arrangement of lines intersecting the unit square. There is some minimum scaling factor so that any placement of a rectangle with aspect ratio with $p\…
cs.CG2021★ 1 cited
If You Must Choose Among Your Children, Pick the Right One
Benjamin Holmgren, Bradley McCoy, Brittany Fasy +1
Given a simplicial complex and an injective function from the vertices of to , we consider algorithms that extend to a discrete Morse function on . W…