15 citations · 15 across the 1 of their papers we have counts for
3 papers
math.CO2017
The Theta Number of Simplicial Complexes
Christine Bachoc, Anna Gundert, Alberto Passuello
We introduce a generalization of the celebrated Lovász theta number of a graph to simplicial complexes of arbitrary dimension. Our generalization takes advantage of real simplicial…
math.CO2014
The density of sets avoiding distance 1 in Euclidean space
Christine Bachoc, Alberto Passuello, Alain Thiery
We improve by an exponential factor the best known asymptotic upper bound for the density of sets avoiding 1 in Euclidean space. This result is obtained by a combination of an anal…
cs.IT2012★ 15 cited
Bounds for projective codes from semidefinite programming
Christine Bachoc, Alberto Passuello, Frank Vallentin
We apply the semidefinite programming method to derive bounds for projective codes over a finite field.