Hamiltonian-like Properties of k-Ary n-Cubes

Some Hamiltonian-like properties of k-ary n-cube are explored. In this paper, we show that k-ary 2-cube is almost Hamiltonian-connected, bipanconnected, bipancyclic. And we prove that k-ary n-cube is almost Hamiltonian-connected when n \ge 3 , and Hamiltonianconnected if k is odd.