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» A Ramsey-type result for the hypercube
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IPL
2008
80views more  IPL 2008»
13 years 7 months ago
Path partitions of hypercubes
A path partition of a graph G is a set of vertex-disjoint paths that cover all vertices of G. Given a set P = {{ai, bi}}m i=1 of pairs of distinct vertices of the n-dimensional hy...
Petr Gregor, Tomás Dvorák
JCT
1998
99views more  JCT 1998»
13 years 7 months ago
From Hall's Matching Theorem to Optimal Routing on Hypercubes
We introduce a concept of so-called disjoint ordering for any collection of finite sets. It can be viewed as a generalization of a system of distinctive representatives for the s...
Shuhong Gao, Beth Novick, Ke Qiu
ICPADS
2000
IEEE
13 years 11 months ago
Optimal Fault-Tolerant Routing in Hypercubes Using Extended Safety Vectors
1 Reliable communication in cube-based multicomputers using the extended safety vector concept is studied in this paper. In our approach, each node in a cube-based multicomputer o...
Jie Wu, Feng Gao, Zhongcheng Li, Yinghua Min
JPDC
2006
93views more  JPDC 2006»
13 years 7 months ago
Fault-tolerant multicasting in hypercubes using local safety information
A fully unsafe hypercube according to the global safety can be split into a unique set of maximal safe subcubes. Multicasting in a maximal safe subcube can be completed reliably b...
Dong Xiang, Ai Chen, Jia-Guang Sun
TCS
2002
13 years 7 months ago
Some permutation routing algorithms for low-dimensional hypercubes
Oblivious permutation routing in binary d-cubes has been well studied in the literature. In a permutation routing, each node initially contains a packet with a destination such th...
Frank K. Hwang, Y. C. Yao, Bhaskar DasGupta