Fault-Hamiltonicity of Hypercube-Like Interconnection Networks
IPDPS '05 Proceedings of the 19th IEEE International Parallel and Distributed Processing Symposium (IPDPS'05) - Papers - Volume 01
Conditional matching preclusion sets
Information Sciences: an International Journal
Many-to-Many Disjoint Path Covers in the Presence of Faulty Elements
IEEE Transactions on Computers
Conditional Edge-Fault Hamiltonicity of Matching Composition Networks
IEEE Transactions on Parallel and Distributed Systems
Conditional matching preclusion for hypercube-like interconnection networks
Theoretical Computer Science
Matching preclusion for the (n, k)-bubble-sort graphs
International Journal of Computer Mathematics
Matching preclusion for k-ary n-cubes
Discrete Applied Mathematics
Conditional matching preclusion for the alternating group graphs and split-stars
International Journal of Computer Mathematics
Theoretical Computer Science
The diagnosability of the matching composition network under the comparison diagnosis model
IEEE Transactions on Computers
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Strong matching preclusion that additionally permits more destructive vertex faults in a graph [J.-H. Park, I. Ihm, Strong matching preclusion, Theoretical Computer Science 412 (2011) 6409-6419] is an extended form of the original matching preclusion that assumes only edge faults [R.C. Brigham, F. Harary, E.C. Violin, J. Yellen, Perfect-matching preclusion, Congressus Numerantium 174 (2005) 185-192]. In this paper, we study the problem of strong matching preclusion under the condition that no isolated vertex is created as a result of faults. After briefly discussing some fundamental classes of graphs in the point of the conditional matching preclusion, we establish the conditional strong matching preclusion number for the class of restricted hypercube-like graphs, which include most nonbipartite hypercube-like networks found in the literature.