A. G. Brodskiy, “Gale Duality and the Neighborliness of Random Polytopes. II”, Model. Anal. Inform. Sist., 2012, Volume 19, Number 4,Pages <nobr>87

Gale Duality and the Neighborliness of Random Polytopes. II

A. G. Brodskiy

Company "Yandex"

Abstract: We have obtain of some distribution-independent results on the $k$-neighborliness of random polytopes. They confirm the well-known Gale conjecture for the general case.

Keywords: $k$-neighborly polytope, probability space, random points, random polytope, distribution-independent property.

UDC: 519.212.3+519.852.2

Received: 04.12.2011