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- W1513969213 abstract "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.KeywordsHamiltonian CycleGood PartitionBroadcasting AlgorithmReliable BroadcastHead FlitThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W1513969213 date "1996-01-01" @default.
- W1513969213 modified "2023-09-23" @default.
- W1513969213 title "Directed hamiltonian packing in d-dimensional meshes and its application" @default.
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- W1513969213 doi "https://doi.org/10.1007/bfb0009506" @default.
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