Computing dominators and its applications on processor arrays with reconfigurable bus systems

Presents an efficient improvement of processor complexity while solving some connectivity problems in processor arrays with reconfigurable bus systems. We first derive two constant time algorithms in the proposed parallel processing system for computing the dominators and the dominator tree of an undirected graph either using a 9-D n×n×n processors or a 2-D n²×n² processors, where n is the number of vertices of the graph. Then based on the dominator tree algorithm, we also solve many other graph connectivity problems in constant time. They are the articulation points, bridges, biconnected components, and bridge-connected components problems in undirected graphs