Abstract
The locally twisted cube interconnection network has been recognized as an attractive alternative to the hypercube network. Previously, the locally twisted cube has been shown to contain a Hamiltonian cycle. The main contribution of this paper is to provide the necessary and sufficient conditions for determining a characterization of permutations of link dimensions constructing Hamiltonian cycles in a locally twisted cube. For those permutations, we propose a linear algorithm for finding a Hamiltonian cycle through a given edge. As a result, we obtain a lower bound for the number of Hamiltonian cycles through a given edge in an n-dimensional locally twisted cube.
Published Version
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