Let P be a set of n points in Ê3 , not all in a common plane. We solve a problem of Scott (1970) by showing that the connecting lines of P assume at least 2n − 7 different dir...
The web graph has been the focus of much recent attention, with several stochastic models proposed to account for its various properties. A survey of these models is presented, foc...
We show how to construct an arrangement of n lines having a monotone path of length Ω(n2−(d/ √ log n)), where d > 0 is some constant, and thus nearly settle the long stan...
Let τK be the worst-case (supremum) ratio of the weight of the minimum degree-K spanning tree to the weight of the minimum spanning tree, over all finite point sets in the Eu
We use a mathematical morphology approach to compute the surface and curve skeletons of a 3D object. We focus on the behaviour of the surface skeleton, in particular the reversibil...