Mohadese Ghafari

most citedFlips in Two-dimensional Hypertriangulations

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2022★ 1 cited

Flips in Two-dimensional Hypertriangulations

Herbert Edelsbrunner, Alexey Garber, Mohadese Ghafari +2

We study flips in hypertriangulations of planar points sets. Here a level- $k$ hypertriangulation of $n$ points in the planes is a subdivision induced by the projection of a $k$ -hyp…

math.CO2022

On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane

Herbert Edelsbrunner, Alexey Garber, Mohadese Ghafari +2

For a locally finite set in $R^{2}$ , the order- $k$ Brillouin tessellations form an infinite sequence of convex face-to-face tilings of the plane. If the set is coarsely dens…

math.CO2022★ 1 cited

Brillouin Zones of Integer Lattices and Their Perturbations

Herbert Edelsbrunner, Alexey Garber, Mohadese Ghafari +3

For a locally finite set, $A \subseteq R^{d}$ , the $k$ -th Brillouin zone of $a \in A$ is the region of points $x \in R^{d}$ for which $∥ x - a ∥$ is the $k$ -th smallest…