Abstract#R##N##R##N#We study here the problem of reorienting the directed edges of mixed multigraphs so as to establish or preserve reachability, which may be destroyed by edge removal. We develop a linear time/space algorithm which tests whether reorienting designated directed edges can reestablish reachability, and which constructs such a reorientation whenever possible. We also develop a linear time/space algorithm which, when reachability has been destroyed by the removal of a single edge, optimally restores reachability through the reversal of selected edges. Finally, we show the reliability of a graph allowing reversals to be twice that of a graph for which reversals are not permitted.
['Weigeng Shi', 'Ronald J. Juels']
Connected reorientations of mixed multigraphs