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» Hamiltonian fault-tolerance of hypercubes
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JSAT
2008
89views more  JSAT 2008»
13 years 7 months ago
Towards a Classification of Hamiltonian Cycles in the 6-Cube
In this paper, we consider the problem of classifying Hamiltonian cycles in a binary hypercube. Previous work proposed a classification of these cycles using the edge representati...
Yury Chebiryak, Daniel Kroening
DM
2007
100views more  DM 2007»
13 years 7 months ago
Hamiltonian paths with prescribed edges in hypercubes
Given a set P of at most 2n − 4 prescribed edges (n ≥ 5) and vertices u and v whose mutual distance is odd, the n-dimensional hypercube Qn contains a hamiltonian path between ...
Tomás Dvorák, Petr Gregor
IPPS
2000
IEEE
13 years 11 months ago
Gray Codes for Torus and Edge Disjoint Hamiltonian Cycles
Lee distance Gray codes for -ary Ò-cubes and torus networks are presented. Using these Lee distance Gray codes, it is further shown how to directly generate edge disjoint Hamilto...
Myung M. Bae, Bella Bose
ENDM
2007
70views more  ENDM 2007»
13 years 7 months ago
Hamiltonian fault-tolerance of hypercubes
Given a set F of faulty edges or faulty vertices in the hypercube Qn and a pair of vertices u, v, is there a hamiltonian cycle or a hamiltonian path between u and v in Qn −F? We...
Tomás Dvorák, Petr Gregor
ISPAN
2005
IEEE
14 years 28 days ago
Mutually Independent Hamiltonian Cycles in Hypercubes
Chao-Ming Sun, Cheng-Kuan Lin, Hua-Min Huang