Y. Xiang and I.A. Stewart (UK)
Interconnection networks. k-ary n-cubes. Fault-tolerance. Pancyclicity. Bipancyclicity.
We prove that a k-ary 2-cube Qk
2 with 3 faulty edges but
where every vertex is incident with at least 2 healthy edges
is bipancyclic, if k ≥ 3, and k-pancyclic, if k ≥ 5 is odd
(these results are optimal).