We show that the Shortest Path Problem cannot be solved in o(log n) time on an unbounded fan-in PRAM without bit operations using poly(n) processors even when the bit-lengths of t...
We study the dynamic version of the distributed all-pairs shortest paths problem. Most of the solutions given in the literature for this problem work under the assumption that bef...
It is shown that the de Bruijn graph (dBG) can be used as an architecture for interconnection networks and a suitable structure for parallel computation. Recent works have classi...
We obtain the first approximation algorithm for finding the k-simple shortest paths connecting a pair of vertices in a weighted directed graph. Our algorithm is deterministic an...
This paper reports about the development of two provably correct approximate algorithms which calculate the Euclidean shortest path (ESP) within a given cube-curve with arbitrary a...