title: The p-p rearrangement and failure-tolerance of double p-ary multirings and generalized hypercubes
abstract: 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 (p-1)-nodal failure-tolerance and the generalized hypercube displays in addition the property of the (p-1)-channel failure-tolerance
keyphrases: p-p rearrangement failure-tolerance double p-ary multirings generalized hypercubes p-element permutation commutators single-element permutations conflict-free implementation