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Zbl 1178.68043
Park, Chong-Dae; Chwa, Kyung-Yong
Hamiltonian properties on the class of hypercube-like networks.
(English)
[J] Inf. Process. Lett. 91, No. 1, 11-17 (2004). ISSN 0020-0190

Summary: Hamiltonian properties of hypercube variants are explored. Variations of the hypercube networks have been proposed by several researchers. In this paper, we show that all hypercube variants are hamiltonian-connected or hamiltonian-laceable. And we also show that these graphs are bipancyclic.
MSC 2000:
*68M10 Computer networks

Keywords: interconnection networks; hamiltonicity; hypercubes; twisted cubes; graph embedding

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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