Xiang, Y. and Stewart, I. A. (2009) 'Pancyclicity in faulty k-ary 2-cubes.', in Proceedings of the 21st IASTED International Conference on Parallel and Distributed Computing and Systems PDCS, 2-4 November, Cambridge, Massachusetts. , pp. 77-84.
We prove that a k-ary 2-cube $Q_k^2$ 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).
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