The Conditional Strong Matching Preclusion of Augmented Cubes
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The strong matching preclusion is a measure for the robustness of interconnection networks in the presence of node and/or link failures. However, in the case of random link and/or node failures, it is unlikely to find all the faults incident and/or adjacent to the same vertex. This motivates Park et al. to introduce the conditional strong matching preclusion of a graph. In this paper we consider the conditional strong matching preclusion problem of the augmented cube $AQ_n$, which is a variation of the hypercube $Q_n$ that possesses favorable properties.
Abdallah, M., &Cheng, E. (2021). The Conditional Strong Matching Preclusion of AugmentedCubes. Theory and Applications of Graphs, 8(1), 1-20. https://doi.org/10.20429/tag.2021.080105