On distinct distances in homogeneous sets in the Euclidean space

Details On distinct distances in homogeneous sets in the Euclidean space On distinct distances in homogeneous sets in the Euclidean space

2005-03-22

arxiv.org/abs/math/0503443v4

Mathematics

Combinatorics

Scientific paper

A homogeneous set of $n$ points in the $d$-dimensional Euclidean space
determines at least $\Omega(n^{2d/(d^2+1)} / \log^{c(d)} n)$ distinct distances
for a constant $c(d)>0$. In three-space, we slightly improve our general bound
and show that a homogeneous set of $n$ points determines at least
$\Omega(n^{.6091})$ distinct distances.

Affiliated with

Also associated with

No associations

Rating

On distinct distances in homogeneous sets in the Euclidean space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On distinct distances in homogeneous sets in the Euclidean space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On distinct distances in homogeneous sets in the Euclidean space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-684420