A. Vardy

most citedA Lower Bound on the Density of Sphere Packings via Graph Theory

3 citations · 3 across the 2 of their papers we have counts for

collaborators

Showing math.COShow all

2 papers · 1 filter

math.CO2004

Optimal Tristance Anticodes in Certain Graphs

Tuvi Etzion, Moshe Schwartz, Alexander Vardy

For $z_{1}, z_{2}, z_{3} \in Z^{n}$ , the \emph{tristance} $d_{3} (z_{1}, z_{2}, z_{3})$ is a generalization of the $L_{1}$ -distance on $Z^{n}$ to a quantity that reflects the relative dispersion of three…

math.CO2004★ 3 cited

A Lower Bound on the Density of Sphere Packings via Graph Theory

Michael Krivelevich, Simon Litsyn, Alexander Vardy

Using graph-theoretic methods we give a new proof that for all sufficiently large $n$ , there exist sphere packings in $R^{n}$ of density at least $c n 2^{- n}$ , exceeding the classical…