Strong matching preclusion for torus networks

The torus network is one of the most popular interconnection network topologies for massively parallel computing systems. Strong matching preclusion that additionally permits more destructive vertex faults in a graph is a more extensive form of the original matching preclusion that assumes only edge faults. In this paper, we establish the strong matching preclusion number and all minimum strong matching preclusion sets for bipartite torus networks and 2-dimensional nonbipartite torus networks.