52 citations · 61 across the 10 of their papers we have counts for
3 papers · 1 filter
Explicit constructions of centrally symmetric k-neighborly polytopes and large strictly antipodal sets
Alexander Barvinok, Seung Jin Lee, Isabella Novik
We present explicit constructions of centrally symmetric 2-neighborly d-dimensional polytopes with about 3^{d/2} = (1.73)^d vertices and of centrally symmetric k-neighborly d-polyt…
Centrally symmetric polytopes with many faces
Alexander Barvinok, Seung Jin Lee, Isabella Novik
We present explicit constructions of centrally symmetric polytopes with many faces: first, we construct a d-dimensional centrally symmetric polytope P with about (1.316)^d vertices…
Neighborliness of the symmetric moment curve
Alexander Barvinok, Seung Jin Lee, Isabella Novik
We consider the convex hull B_k of the symmetric moment curve U(t)=(cos t, sin t, cos 3t, sin 3t, ..., cos (2k-1)t, sin (2k-1)t) in R^{2k}, where t ranges over the unit circle S= R…