47 citations · 158 across the 28 of their papers we have counts for
Showing 2013 · math.COShow all
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math.CO2013★ 5 cited
Frieze patterns as root posets and affine triangulations
Michael Cuntz
The entries of frieze patterns may be interpreted as coordinates of roots of a finite Weyl groupoid of rank two. We prove the existence of maximal elements in their root posets and…
math.CO2013★ 47 cited
The freeness of ideal subarrangements of Weyl arrangements
Takuro Abe, Mohamed Barakat, Michael Cuntz +2
A Weyl arrangement is the arrangement defined by the root system of a finite Weyl group. When a set of positive roots is an ideal in the root poset, we call the corresponding arran…
math.CO2013
Combinatorial simpliciality of arrangements of hyperplanes
Michael Cuntz, David Geis
We introduce a combinatorial characterization of simpliciality for arrangements of hyperplanes. We then give a sharp upper bound for the number of hyperplanes of such an arrangemen…