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Embedding Three–Dimensional Meshes in Boolean Cubes by Graph Decomposition
KTH, School of Computer Science and Communication (CSC), Centres, Centre for High Performance Computing, PDC. (Parallelldatorcentrum)
1990 (English)Conference paper, Published paper (Refereed)
Abstract [en]

This paper explores the embeddings of multidimensional meshes into minimal Boolean cubes by graph decomposition. The graph decomposition technique can be used to improve the average dilation and average congestion. The graph decomposition technique combined with some particular two-dimensional embeddings allows for minimal-expansion, dilation-two, congestion-two embeddings of about 87% of all two-dimensional meshes, with a significantly lower average dilation and congestion than by modified line compression. For three-dimensional meshes the authors show that the graph decomposition technique, together with two three-dimensional mesh embeddings presented in this paper and modified line compression, yields dilation-two embeddings of more than 96% of all three dimensional meshes contained in a 512 {times} 512 {times} 512 mesh.

Place, publisher, year, edition, pages
1990. 319-326 p.
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:kth:diva-65526OAI: oai:DiVA.org:kth-65526DiVA: diva2:483412
Conference
The 1990 International Conference on Parallel Processing
Note
NR 20140805Available from: 2012-01-25 Created: 2012-01-25Bibliographically approved

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