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cs.CG2023
Hopf Arborescent Links, Minor Theory, and Decidability of the Genus Defect
Pierre Dehornoy, Corentin Lunel, Arnaud de Mesmay
While the problem of computing the genus of a knot is now fairly well understood, no algorithm is known for its four-dimensional variants, both in the smooth and in the topological…
cs.CG2022
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…