50 citations · 125 across the 28 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★ 1 cited
Shellability of the higher pinched Veronese posets
Martin Tancer
The pinched Veronese poset is the poset with ground set consisting of all non-negative integer vectors of length n such that the sum of their coordinates is divisible by $n…
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…