UM
Embedding a family of disjoint 3D meshes into a crossed cube
Dong Q.3; Yang X.3; Zhao J.1; Tang Y.Y.3
2008-06-01
Source PublicationInformation Sciences
ISSN00200255
Volume178Issue:11Pages:2396-2405
AbstractCrossed cubes are an important class of hypercube variants. This paper addresses how to embed a family of disjoint 3D meshes into a crossed cube. Two major contributions of this paper are: (1) for n ≥ 4, a family of two disjoint 3D meshes of size 2 × 2 × 2 can be embedded in an n-D crossed cube with unit dilation and unit expansion, and (2) for n ≥ 6, a family of four disjoint 3D meshes of size 4 × 2 × 2 can be embedded in an n-D crossed cube with unit dilation and unit expansion. These results mean that a family of two or four 3D-mesh-structured parallel algorithms can be executed on a same crossed cube efficiently and in parallel. Our work extends the results recently obtained by Fan and Jia [J. Fan, X. Jia, Embedding meshes into crossed cubes, Information Sciences 177(15) (2007) 3151-3160]. © 2008.
Keyword3D mesh Crossed cube Dilation Expansion Graph embedding Interconnection network
DOI10.1016/j.ins.2007.12.010
URLView the original
Language英語
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Cited Times [WOS]:23   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Aba Teachers College
2.Hong Kong Baptist University
3.Chongqing University
Recommended Citation
GB/T 7714
Dong Q.,Yang X.,Zhao J.,et al. Embedding a family of disjoint 3D meshes into a crossed cube[J]. Information Sciences,2008,178(11):2396-2405.
APA Dong Q.,Yang X.,Zhao J.,&Tang Y.Y..(2008).Embedding a family of disjoint 3D meshes into a crossed cube.Information Sciences,178(11),2396-2405.
MLA Dong Q.,et al."Embedding a family of disjoint 3D meshes into a crossed cube".Information Sciences 178.11(2008):2396-2405.
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