Optical Backbones with Low Connectivity for IP-over-WDM Networks

High performance optical backbones for next generation Internet

“…We also observed that each topology of the type D4T(w 1 , w 2 , w 3 , w 4 ), with a smallest diameter of 6 (for N=100), has the same diameter and the same hop-length distribution of each topology of the type D4T((w 1 +k)mod N, (w 2 +k)mod N, (w 3 +k)mod N, (w 4 +k)mod N), where k=2i, being i an even positive integer. For instance, D4T(1,99,5,23) and D4T (3,1,7,25) topologies have exactly the same diameter (6, for N=100) and the same hop-length distribution. Another interesting result that we found is concerned with the influence of each D3T topology with smallest diameter (which is 9, for N=100) on the characteristics of a D4T topology.…”

“…In [7], we presented an assessment of the traffic performance in wavelength routing networks with random topologies of average nodal degrees of 2 and 3. It was shown that the performance of a network, with a random topology and an average nodal degree of 2, is better than the performance of rings and some chordal rings.…”

Performance assessment of wavelength routing optical networks with irregular degree-three topologies

“…This observation is explained by the fact that all degree-three topologies of the type DTT(w1 ,w2, w3), with an absolute minimum diameter, have exactly the same hop length distribution and the same network diameter. Since we have shown, in [14], that wavelength routed networks, with a random topology and an average nodal degree of three, have better performance than the performance of wavelength routing networks with chordal ring topology of smallest diameter, we are looking for degree-three topologies that outperform chordal rings. We have also analysed the model used to obtain the hoplength distribution in random topologies and we found that the model does not ensure the full network connectivity, i. e., there are some nodes that may be not connected to the remaining network nodes.…”

“…In [14], we presented an assessment of the traffic performance in wavelength routing networks with random topologies of average nodal degrees of 2 and 3. It is shown that the performance of a network, with a random topology and an average nodal degree of 2, is better than the performance of rings and some chordal rings.…”