Topological Wavelength Usage Estimation in Transparent Wide Area Networks

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.