We give a randomized parallel algorithm for computing single-source sh
ortest paths in weighted digraphs. We show that the exact shortest-pat
h problem can be efficiently reduced to solving a series of approximat
e shortest-path subproblems. Our algorithm for the approximate shortes
t-path problem is based on the technique used by Ullman and Yannakakis
in a parallel algorithm for breadth-first search. (C) 1997 Academic P
ress.