In this paper, we present optimal O(log n) time, O(n/log n) processor
EREW PRAM parallel algorithms for finding the connected components, cu
t vertices, and bridges of a permutation graph. We also present an O(l
og n) time, O(n) processor, CREW PRAM model parallel algorithm for fin
ding a Breadth First Search (BFS) spanning tree of a permutation graph
rooted at vertex 1 and use the same to derive an efficient parallel a
lgorithm for the All Pairs Shortest Path problem on permutation graphs
. (C) 1995 Academic Press, Inc.