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The n-dimensional twisted-cube, TN n , is a variation of the hypercube. In this paper, we study embedding of meshes into TN n . We prove three major results in this paper: (1) For any integer n⩾1, a 2×2 n−1 mesh can be embedded into TN n with dilation 1 and expansion 1. (2) For any integer n⩾4, an m×k(m⩾3,k⩾3) mesh cannot be embedded into TN n with dilation...
Crossed cubes are important variants of hypercubes. In this paper, we consider embeddings of meshes in crossed cubes. The major research findings in this paper are: (1) For any integer n⩾1, a 2×2 n−1 mesh can be embedded in the n-dimensional crossed cube with dilation 1 and expansion 1. (2) For any integer n⩾4, two node-disjoint 4×2 n−3 meshes can be embedded in the n-dimensional crossed...
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