New for: D1
In the talk we study the equilateral dimension of the n-dimensional hypercube endowed with the usual Hamming distance. Amongst other results we derive asymptotic bounds on the equilateral dimension where we consider d as a function of n and let n tend to infinity. For instance, we are able to show that the equilateral dimension grows asymptotically at least as fast as n^(2/3) for d=n^a for 0<a<1 and that the minimal asymptotic growth is matched exactly for d=n^(1/3).
The results presented in this talk are joint work with L. Minder and T. Sauerwald.