9 citations · 19 across the 18 of their papers we have counts for
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cs.CG2017
On the complexity of optimal homotopies
Erin Wolf Chambers, Arnaud de Mesmay, Tim Ophelders
In this article, we provide new structural results and algorithms for the Homotopy Height problem. In broad terms, this problem quantifies how much a curve on a surface needs to be…
math.DG2017
Constructing monotone homotopies and sweepouts
Erin Wolf Chambers, Gregory R. Chambers, Arnaud de Mesmay +2
This article investigates when homotopies can be converted to monotone homotopies without increasing the lengths of curves. A monotone homotopy is one which consists of curves whic…