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PDCAT
2007
Springer
13 years 11 months ago
An Algorithm for Constructing Hamiltonian Cycle in Metacube Networks
The high-performance supercomputers will consist of several millions of CPUs in the next decade. The interconnection networks (INs) in such supercomputers play an important role. ...
Yamin Li, Shietung Peng, Wanming Chu
TJS
2010
89views more  TJS 2010»
13 years 3 months ago
Metacube - a versatile family of interconnection networks for extremely large-scale supercomputers
The high-performance supercomputers will consist of several millions of CPUs in the next decade. The interconnection networks in such supercomputers play an important role for achi...
Yamin Li, Shietung Peng, Wanming Chu
LATIN
2010
Springer
13 years 8 months ago
Computational Complexity of the Hamiltonian Cycle Problem in Dense Hypergraphs
Abstract. We study the computational complexity of deciding the existence of a Hamiltonian Cycle in some dense classes of k-uniform hypergraphs. Those problems turned out to be, al...
Marek Karpinski, Andrzej Rucinski, Edyta Szymanska
IEEECIT
2009
IEEE
13 years 2 months ago
Hamiltonian Connectedness of Recursive Dual-Net
Recursive Dual-Net (RDN) was proposed recently as an effective, high-performance interconnection network for supercomputers with millions of nodes. A Recursive DualNet RDN(B) is r...
Yamin Li, Shietung Peng, Wanming Chu
SPAA
1993
ACM
13 years 9 months ago
Optimal Parallel Construction of Hamiltonian Cycles and Spanning Trees in Random Graphs
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...
Philip D. MacKenzie, Quentin F. Stout