Strongly Hamiltonian laceability of the even k-ary n-cube |
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Authors: | Chien-Hung |
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Affiliation: | aDepartment of Computer Science and Information Engineering, National Formosa University, 64 Wen-Hwa Road, Huwei 632, Taiwan, ROC |
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Abstract: | The interconnection network considered in this paper is the k-ary n-cube that is an attractive variance of the well-known hypercube. Many interconnection networks can be viewed as the subclasses of the k-ary n-cubes include the cycle, the torus and the hypercube. A bipartite graph is Hamiltonian laceable if there exists a Hamiltonian path joining every two vertices which are in distinct partite sets. A bipartite graph G is strongly Hamiltonian laceable if it is Hamiltonian laceable and there exists a path of length N − 2 joining each pair of vertices in the same partite set, where N = |V(G)|. We prove that the k-ary n-cube is strongly Hamiltonian laceable for k is even and n 2. |
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Keywords: | Interconnection networks k-ary n-cube Strongly Hamiltonian laceability |
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