Abstract
Large scale multiprocessor systems or multicomputer systems, taking interconnection networks as underlying topologies, have been widely used in the big data era. System level diagnosis is a primary strategy to identify the faulty processors in multiprocessor systems. To enhance the robustness of networks against processors and links fail simultaneously, Zhu et al. [21] proposed a novel fault diagnostic model, the hybrid PMC diagnostic model, which involves the failing of vertices and edges. In this paper, we determine the diagnosability of the triangle-free regular networks under the hybrid PMC model. As by-products, we apply the general results to the state-of-the-art regular networks, such as hypercube-like network as well as hypercube-based compound network, for example, DQcube, exchanged hypercube, dual cube, half-hypercube, hierarchical cubic network and so on.
Supported by the National Natural Science Foundation of China (Nos. 61977016 and 61572010), Natural Science Foundation of Fujian Province (Nos. 2020J01164, 2017J01738).
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Liu, J., Zhou, Q., Yu, Z., Zhou, S. (2021). Fault Diagnosability of Regular Networks Under the Hybrid PMC Model. In: Chen, CY., Hon, WK., Hung, LJ., Lee, CW. (eds) Computing and Combinatorics. COCOON 2021. Lecture Notes in Computer Science(), vol 13025. Springer, Cham. https://doi.org/10.1007/978-3-030-89543-3_24
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