A new parallel algorithm for breadth-first search on interval graphs

Abstract

The authors design an efficient parallel algorithm for constructing a breadth-first spanning tree of an interval graph. Their novel approach is based on elegantly capturing the structure of a given collection of intervals. This structure reveals important properties of the corresponding interval graph, and is found to be instrumental in solving many other problems including the computation of a breadth-depth spanning tree, which they report for the first time. The algorithm requires O(logn) time employing O(n) processors on the EREW PRAM model.<>