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This paper addresses how to embed a multi-dimensional torus of maximal size of into an n-dimensional locally twisted cube. The major contribution of this paper is that, for n≥4, every k-dimensional torus of size 2s1×2s2×⋯×2sk satisfying ∑i=1ksi=n can be embedded into an n-dimensional locally twisted cube with dilation 2 and unit expansion. Further, an embedding algorithm can be constructed based on...
The locally twisted cube is one of the most notable variations of hypercube, but some properties of the locally twisted cube are superior to those of the hypercube. For example, the diameter of former is almost the half of that of the later. This paper addresses how to embed a maximal size of multi-dimensional torus into a locally twisted cube. The major contribution of this paper is that for n ≥4,...
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