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math.CO2022
Planar convex codes are decidable
Boris Bukh, R. Amzi Jeffs
We show that every convex code realizable by compact sets in the plane admits a realization consisting of polygons, and analogously every open convex code in the plane can be reali…
math.CO2022
Convex polytopes in restricted point sets in
Boris Bukh, Zichao Dong
For a finite point set , denote by the ratio of the largest to the smallest distances between pairs of points in . Let be…
math.CO2022★ 1 cited
Enumeration of interval graphs and -representable complexes
Boris Bukh, R. Amzi Jeffs
For each fixed , we obtain asymptotic estimates for the number of -representable simplicial complexes on vertices as a function of . The case corresponds to…