## Topological Wavelength Usage Estimation in Transparent Wide Area Networks

Journal of Optical Communications and Networking, Vol. 1, Issue 1, pp. 196-203 (2009)

http://dx.doi.org/10.1364/JOCN.1.000196

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### Abstract

A power law relationship is established between wavelength usage and algebraic connectivity of backbone wavelength division multiplexing networks. From this observation, a concise prediction formula linking wavelength consumption to network topologies is derived and evaluated for real-world wide area networks. It is shown that the algebraic-connectivity-based wavelength usage estimation is more precise than evaluations relying on node degree variance, number of spanning trees, and average internodal distance.

© 2009 Optical Society of America

**OCIS Codes**

(060.1155) Fiber optics and optical communications : All-optical networks

(060.4264) Fiber optics and optical communications : Networks, wavelength assignment

**ToC Category:**

WDM Architecture

**History**

Original Manuscript: October 30, 2008

Revised Manuscript: April 13, 2009

Manuscript Accepted: April 15, 2009

Published: June 1, 2009

**Citation**

Benoît Châtelain, Michel P. Bélanger, Christine Tremblay, François Gagnon, and David V. Plant, "Topological Wavelength Usage Estimation in Transparent Wide Area Networks," J. Opt. Commun. Netw. **1**, 196-203 (2009)

http://www.opticsinfobase.org/jocn/abstract.cfm?URI=jocn-1-1-196

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