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Sixth International Conference on Parallel and Distributed Computing Applications and Technologies (PDCAT'05)
Hamiltonian-like Properties of k-Ary n-Cubes
Dalian, China
December 05-December 08
ISBN: 0-7695-2405-2
Deqiang Wang, Dalian Maritime University, Dalian, CHINA
Mingyang Pan, Dalian Maritime University, Dalian, CHINA
Tong An, Mathematics Department, Tianjin University of Finance and Economics, CHINA
Kelun Wang, Mathematics Department, Dalian Maritime University, Dalian , CHINA
Shuyan Qu, Mathematics Department, Dalian Maritime University, Dalian , CHINA
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.
Citation:
Deqiang Wang, Mingyang Pan, Tong An, Kelun Wang, Shuyan Qu, "Hamiltonian-like Properties of k-Ary n-Cubes," pdcat, pp.1002-1007, Sixth International Conference on Parallel and Distributed Computing Applications and Technologies (PDCAT'05), 2005
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