182 citations · 549 across the 43 of their papers we have counts for
3 papers · 1 filter
Few smooth d-polytopes with n lattice points
Tristram Bogart, Christian Haase, Milena Hering +6
We prove that, for fixed n there exist only finitely many embeddings of Q-factorial toric varieties X into P^n that are induced by a complete linear system. The proof is based on a…
Integer Point Sets Minimizing Average Pairwise L1-Distance: What is the Optimal Shape of a Town?
Erik D. Demaine, Sandor P. Fekete, Guenter Rote +3
An n-town, for a natural number n, is a group of n buildings, each occupying a distinct position on a 2-dimensional integer grid. If we measure the distance between two buildings a…
Lines pinning lines
Boris Aronov, Otfried Cheong, Xavier Goaoc +1
A line g is a transversal to a family F of convex polytopes in 3-dimensional space if it intersects every member of F. If, in addition, g is an isolated point of the space of line…