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Computation in faulty stars [hypercube networks]

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2 Author(s)
Bagherzadeh, N. ; Dept. of Electr. & Comput. Eng., California Univ., Irvine, CA, USA ; Dowd, M.

The question of simulating a completely healthy hypercube with a degraded one (one with some faulty processors) has been considered by several authors. We consider the question for the star-graph interconnection network. With suitable assumptions on the fault probability, there is, with high probability, a bounded distance embedding of Kn×Sn-1 in a degraded Sn , of congestion O(n). By a different method, a congestion O(log(n)) embedding of S, can be obtained. For the hypercube O(1) congestion has been obtained, but this is open for the star graph. Other results presented include a guaranteed O(n) slowdown simulation if there are sufficiently few faults, and upper and lower bounds for the minimal size of a system of faults rendering faulty every m-substar

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Reliability, IEEE Transactions on  (Volume:44 ,  Issue: 1 )