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• W3000942530 abstract "The g-extra connectivity and diagonalisability are two important metrics to fault-tolerance and robustness of a multiprocessor system whose network structure is modelled by a graph. In this work, we explore the reliability of a newly proposed network called hyper bijective connection networks (HBC, for short), which is an extension of the family of the well-known interconnection networks, such as hypercube and its variants. We prove that 2-extra vertex connectivity and 3-extra vertex connectivity of n-dimensional HBC are 3n + m−6 for m≥3 and n≥4 and 4n + m−8 for m≥4 and n≥4, respectively. Using its desirable fault-tolerance, we show that the conditional diagonalizabilities of n-dimensional HBC under the PMC model are m + 4n−7 (resp., 4n−5) for m≥4 and n≥4 (resp., m = 3 and n≥4) and its conditional diagonalizability under MM∗ model is m + 3n−6 for m≥3 and n≥4." @default.
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• W3000942530 date "2020-01-02" @default.
• W3000942530 modified "2023-10-16" @default.
• W3000942530 title "Reliability and conditional diagnosability of hyper bijective connection networks" @default.
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• W3000942530 doi "https://doi.org/10.1080/23799927.2020.1720825" @default.
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