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Routing and wavelength assignment for exchanged hypercubes in linear array optical networks

The exchanged hypercube, denoted by EH(s,t), is a new interconnection network obtained by systematically removing links from the corresponding hypercube, while many attractive properties are still preserved. This paper investigates the routing and wavelength assignment for realizing exchanged hyperc...

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Bibliographic Details
Published in:Information processing letters 2015-02, Vol.115 (2), p.203-208
Main Author: Liu, Yu-Liang
Format: Article
Language:English
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Summary:The exchanged hypercube, denoted by EH(s,t), is a new interconnection network obtained by systematically removing links from the corresponding hypercube, while many attractive properties are still preserved. This paper investigates the routing and wavelength assignment for realizing exchanged hypercubes communication patterns on linear array WDM optical networks. By using congestion estimation, we derive a lower bound of the minimum number of required wavelengths, and propose an optimal wavelength assignment algorithm that uses 2s+t−1+⌊2t/3⌋ wavelengths. •The issue of routing and wavelength assignment for realizing exchanged hypercubes on linear array is addressed.•A lower bound of the minimum number of required wavelengths is derived.•An embedding scheme, which can achieve the optimal wavelength assignment, is proposed.•An optimal wavelength assignment algorithm that uses 2s+t−1+⌊2t/3⌋ wavelengths is proposed.
ISSN:0020-0190
1872-6119
DOI:10.1016/j.ipl.2014.09.012