1 citations · 1 across the 1 of their papers we have counts for
3 papers
Short Topological Decompositions of Non-Orientable Surfaces
Niloufar Fuladi, Alfredo Hubard, Arnaud de Mesmay
In this article, we investigate short topological decompositions of non-orientable surfaces and provide algorithms to compute them. Our main result is a polynomial-time algorithm t…
Hard Diagrams of the Unknot
Benjamin A. Burton, Hsien-Chih Chang, Maarten Löffler +5
We present three "hard" diagrams of the unknot. They require (at least) three extra crossings before they can be simplified to the trivial unknot diagram via Reidemeister moves in…
Tightening Curves on Surfaces Monotonically with Applications
Hsien-Chih Chang, Arnaud de Mesmay
We prove the first polynomial bound on the number of monotonic homotopy moves required to tighten a collection of closed curves on any compact orientable surface, where the number…