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Improved compressions of cube-connected cycles networks - (Extended abstract)

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UNSPECIFIED (1998) Improved compressions of cube-connected cycles networks - (Extended abstract). In: 24th International Workshop on Graph-Theoretic Concepts in Computer Science, JUN 18-20, 1998, SMOLENICE CASTLE, SLOVAKIA.

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Abstract

We present a new technique for the embedding of large cube-connected cycles networks (CCC) into smaller ones, a problem that arises when algorithms designed for an architecture of an ideal size are to be executed on an existing architecture of a fixed size. Using the new embedding strategy, we show that the CCC of dimension I can be embedded into the CCC of dimension ii with dilation 1 and optimum load for any k, l is an element of N, k greater than or equal to 8, such that 5/3 + c(k) < l/k less than or equal to 2, c(k) = 4k+3/3.2(2/3k) proving known results. Our embedding technique also leads to improved dilation 1 embeddings in the case 3/2 < l/k less than or equal to 5/3 + c(k).

Item Type: Conference Item (UNSPECIFIED)
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Series Name: LECTURE NOTES IN COMPUTER SCIENCE
Journal or Publication Title: GRAPH-THEORETIC CONCEPTS IN COMPUTER SCIENCE
Publisher: SPRINGER-VERLAG BERLIN
ISBN: 3-540-65195-0
ISSN: 0302-9743
Editor: Hromkovic, J and Sykora, O
Date: 1998
Volume: 1517
Number of Pages: 15
Page Range: pp. 242-256
Publication Status: Published
Title of Event: 24th International Workshop on Graph-Theoretic Concepts in Computer Science
Location of Event: SMOLENICE CASTLE, SLOVAKIA
Date(s) of Event: JUN 18-20, 1998
URI: http://wrap.warwick.ac.uk/id/eprint/14079

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