We present optimal parallel algorithms that run in O( pn) time on a pn pn meshconnected computer for a number of fundamental problems concerning proximity and visibility in a simp...
Let V be a set of points in a d-dimensional lp-metric space. Let s, t ∈ V and let L be any real number. An L-bounded leg path from s to t is an ordered set of points which conne...
Abstract. We consider the problem of finding shortest paths in a graph with independent randomly distributed edge lengths. Our goal is to maximize the probability that the path len...
Evdokia Nikolova, Jonathan A. Kelner, Matthew Bran...
We present a simple space saving trick that applies to many previous algorithms for transitive closure and shortest paths in dynamic directed graphs. In these problems, an update c...
Abstract. We study a constrained version of the shortest path problem in polygonal domains, in which the path must visit a given target polygon. We provide an efficient algorithm f...