document: The p-p rearrangement and failure-tolerance of double p-ary multirings and generalized hypercubes It is shown that an arbitrary grouped p-element permutation can be implemented in a conflict-free way through the commutation of channels on the double p-ary multiring or the double p-ary hypercube . It is revealed that in arbitrary single-element permutations , these commutators display the property of the -LRB- p-1 -RRB- - nodal failure-tolerance and the generalized hypercube displays in addition the property of the -LRB- p-1 -RRB- - channel failure-tolerance
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