Pancyclicity in faulty k-ary 2-cubes
(2009)
Presentation / Conference Contribution
Xiang, Y., & Stewart, I. (2009, November). Pancyclicity in faulty k-ary 2-cubes. Presented at Proceedings of 21st International Conference on Parallel and Distributed Computing and Systems, PDCS'09., Cambridge, Massachusetts, USA
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).