Graph Theory
Conditional matching preclusion sets
Information Sciences: an International Journal
Conditional matching preclusion for hypercube-like interconnection networks
Theoretical Computer Science
Matching preclusion for k-ary n-cubes
Discrete Applied Mathematics
Theoretical Computer Science
Discrete Applied Mathematics
Matching preclusion and conditional matching preclusion for regular interconnection networks
Discrete Applied Mathematics
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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.