15 citations · 82 across the 22 of their papers we have counts for
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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.CG2006
On the 3-distortion of a path
Pierre Dehornoy
We prove that, when a path of length n is embedded in R^2, the 3-distortion is an Omega(n^{1/2}), and that, when embedded in R^d, the 3-distortion is an O(n^{1/d-1}).