This paper considers extremal systems of points on the unit sphere Sr Rr+1, related problems of numerical integration and geometrical properties of extremal systems. Extremal sys...
Let H be a fixed directed graph on h vertices, let G be a directed graph on n vertices and suppose that at least n2 edges have to be deleted from it to make it H-free. We show tha...
In this paper we show the power of sampling techniques in designing efficient distributed algorithms. In particular, we show that using sampling techniques, on some networks, sele...