31 citations · 127 across the 16 of their papers we have counts for
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math.CO2013
Bounding Helly numbers via Betti numbers
Xavier Goaoc, Pavel Paták, Zuzana Patáková +2
We show that very weak topological assumptions are enough to ensure the existence of a Helly-type theorem. More precisely, we show that for any non-negative integers and th…
math.CO2013★ 7 cited
Untangling two systems of noncrossing curves
Jiří Matoušek, Eric Sedgwick, Martin Tancer +1
We consider two systems of curves and drawn on a compact two-dimensional surface with boundary. Each and each is either an arc meeti…