FAST PARALLEL ALGORITHMS FOR FINDING CUTPOINTS AND BRIDGES OF UNDIRECTED GRAPHS

Abstract

ABSTRACT In this paper we present fast parallel algorithms for finding the cutpoints and bridges of an undirected graph G = (V,E) having n vertices. We start with the notion of partitioning a graph in a set of (mutually disjoint) adjacency-level sets, and we propose a parallel algorithm which computes these sets in time O(logL) using L · H · n2 processors on a CRCW-PRAM, where L < n and H < n. Based on the properties of the adjacency-level sets, we formulate parallel algorithms which locate all cutpoints and bridges of an undirected graph in constant time O(1) by using no more than L · H · n2 processors on a CRCW-PRAM computational model.