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Theoretical Computer Science
Volume 372, Issue 1, 6 March 2007, Pages 103-107
 
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doi:10.1016/j.tcs.2006.12.007    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2006 Elsevier Ltd All rights reserved.

On rearrangeable multirate three-stage Clos networks

Wenqing DouCorresponding Author Contact Information, a, E-mail The Corresponding Author and Enyu Yaoa, E-mail The Corresponding Author

aDepartment of Mathematics, Zhejiang University, Hangzhou 310027, PR China

Received 20 June 2006; 
revised 30 November 2006; 
accepted 7 December 2006. 
Communicated by D.-Z. Du. 
Available online 17 December 2006.

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Abstract

Since 1989 when Melen and Turner introduced an elegant model for interconnection networks that carry multirate traffic, the theory and applications of the three-stage Clos network has been extended from circuit switching to the multirate environment. Chung and Ross conjectured that C(n,2n−1,r) is rearrangeable if each call has weight chosen from a given set of k weights. Lin et al. confirmed the conjecture for a restricted discrete bandwidth case only. In this paper we show that the conjecture of Chung and Ross holds not only in the discrete bandwidth case but also in the continuous bandwidth case for View the MathML source.

Keywords: Three-stage Clos network; Multirate network; Rearrangeable


 
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