Title | ||
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Directed Hamiltonian Packing in d-Dimensional Meshes and Its Application (Extended Abstract) |
Abstract | ||
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A digraph G with minimum in-degree d and minimum out-degree d is said to have a directed hamiltonian packing if G has d link-disjoint directed hamiltonian cycles. We show that a d-dimensional N1 × × N
d mesh, when N
i 2d is even, has a directed hamiltonian packing, where an edge (u, v) in G is regarded as two directed links (u, v) and v,u. As its application, we design a time-efficient all-to-all broadcasting algorithm in 3-dimensional meshes under the wormhole routing model. |
Year | DOI | Venue |
---|---|---|
1996 | 10.1007/BFb0009506 | ISAAC |
Keywords | Field | DocType |
directed hamiltonian packing,d-dimensional meshes,extended abstract,hamiltonian cycle,3 dimensional | Discrete mathematics,Combinatorics,Polygon mesh,Hamiltonian (quantum mechanics),Computer science,Hamiltonian path problem | Conference |
ISBN | Citations | PageRank |
3-540-62048-6 | 2 | 0.47 |
References | Authors | |
5 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jae-Ha Lee | 1 | 144 | 14.19 |
Chan-su Shin | 2 | 206 | 26.76 |
Kyung-Yong Chwa | 3 | 919 | 97.10 |