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
Original Manuscript: October 30, 2008
Revised Manuscript: April 13, 2009
Manuscript Accepted: April 15, 2009
Published: June 1, 2009
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)