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Two Edge-Disjoint Hamiltonian Paths in Crossed Cubes

The crossed cube, which is introduced by Efe, possesses some properties superior to the hypercube. In this paper, we show that for any n ges 4, there are two edge-disjoint Hamiltonian paths in the n-dimensional crossed cube. Furthermore, there are two edge-disjoint spanning trees and two edge-disjoint Hamiltonian cycles in the n-dimensional crossed cube.