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Hamiltonian Decomposition of the Rectangular Twisted Torus

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2 Author(s)
Jha, P.K. ; Dept. of Comput. Sci., St. Cloud State Univ., St. Cloud, MN, USA ; Prasad, R.

We show that the 2atimes a rectangular twisted torus introduced by Cámara et al. [5] is edge decomposable into two Hamiltonian cycles. In the process, the 2a × a × a prismatic twisted torus is edge decomposable into three Hamiltonian cycles, and the 2a × a × a prismatic doubly twisted torus admits two edge-disjoint Hamiltonian cycles.

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Parallel and Distributed Systems, IEEE Transactions on  (Volume:23 ,  Issue: 8 )