48 citations · 91 across the 23 of their papers we have counts for
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math.DG2016★ 11 cited
Lower and upper bounds for the waists of different spaces
Arseniy Akopyan, Alfredo Hubard, Roman Karasev
We prove several new results around Gromov's waist theorem. We give a simple proof of Vaaler's theorem on sections of the unit cube using the Borsuk--Ulam--Crofton technique. We co…
cs.CG2016
Shortest path embeddings of graphs on surfaces
Alfredo Hubard, Vojtěch Kaluža, Arnaud de Mesmay +1
The classical theorem of Fáry states that every planar graph can be represented by an embedding in which every edge is represented by a straight line segment. We consider generaliz…