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IPL
2008
80views more  IPL 2008»
13 years 4 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
IPPS
1997
IEEE
13 years 9 months ago
Nearly Optimal One-To-Many Parallel Routing in Star Networks
Star networks were proposedrecently as an attractive alternative to the well-known hypercube models for interconnection networks. Extensive research has been performed that shows ...
Chi-Chang Chen, Jianer Chen
ENDM
2007
70views more  ENDM 2007»
13 years 4 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
NETWORKS
2002
13 years 4 months ago
Node-disjoint paths and related problems on hierarchical cubic networks
An n-dimensional hierarchical cubic network (denoted by HCN(n)) contains 2 n n-dimensional hypercubes. The diameter of the HCN(n), which is equal to n+(n+1)/3+1, is about two-thir...
Jung-Sheng Fu, Gen-Huey Chen, Dyi-Rong Duh