18 citations · 27 across the 10 of their papers we have counts for
4 papers · 1 filter
Packable hyperbolic surfaces with symmetries
Maria Dostert, Alexander Kolpakov
We discuss several ways of packing a hyperbolic surface with circles (of either varying radii or all being congruent) or horocycles, and note down some observations related to thei…
Semidefinite programming bounds for the average kissing number
Maria Dostert, Alexander Kolpakov, Fernando Mário de Oliveira Filho
The average kissing number of is the supremum of the average degrees of contact graphs of packings of finitely many balls (of any radii) in . We provid…
Kissing number in non-Euclidean spaces of constant sectional curvature
Maria Dostert, Alexander Kolpakov
This paper provides upper and lower bounds on the kissing number of congruent radius spheres in hyperbolic and spherical spaces, for …
Exact semidefinite programming bounds for packing problems
Maria Dostert, David de Laat, Philippe Moustrou
In this paper we give an algorithm to round the floating point output of a semidefinite programming solver to a solution over the rationals or a quadratic extension of the rational…