2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.MG2018★ 2 cited
On the density of sets of the Euclidean plane avoiding distance 1
Thomas Bellitto, Arnaud Pêcher, Antoine Sédillot
A subset is said to avoid distance if: In this paper we study the number which is…
math.CO2017
On the density of sets avoiding parallelohedron distance 1
Christine Bachoc, Thomas Bellitto, Philippe Moustrou +1
The maximal density of a measurable subset of R^n avoiding Euclidean distance1 is unknown except in the trivial case of dimension 1. In this paper, we consider thecase of a distanc…
math.CO2011
On the theta number of powers of cycle graphs
Christine Bachoc, Arnaud Pêcher, Alain Thiéry
We give a closed formula for Lovasz theta number of the powers of cycle graphs and of their complements, the circular complete graphs. As a consequence, we establish that the circu…