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A Combinatorial Analysis of Subcube Reliability in Hypercubes
July 1995 (vol. 44 no. 7)
pp. 952-956

Abstract—In this brief contribution, we derive an exact expression for $(n - 1)$-cube reliability in an $n$-cube using a new probability fault model and an existing random fault model. Approximate results are also obtained for $m$-cube reliability for values of $m$ smaller than $n - 1.$ We show that the proposed probability model for computing subcube reliability is equally accurate, but computationally more efficient than the existing random fault model.

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Index Terms:
Hypercube, subcube reliability, fault-tolerance, combinatorial model.
Laxmi N. Bhuyan, Yeimkuan Chang, "A Combinatorial Analysis of Subcube Reliability in Hypercubes," IEEE Transactions on Computers, vol. 44, no. 7, pp. 952-956, July 1995, doi:10.1109/12.392856
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