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At the end, some of these links may not be used. 53 Mapping of an arbitrary network on a mesh of rings fN7L ........ ~-----~ .... ........ I Figure 3 Problem which occurs when enlarging a ring (solid line and black nodes) by a face. The dashed face can't be added to the ring because the result would not be a ring, only the addition of the dot-dashed face is possible. 4. THE VIRTUAL NETWORK LAYER The ring configuration provides an effective network topology for the connections. Every ring in the lower layer is translated into a complete graph of the virtual network layer.

Multicast routing and wavelength assignment in wide area networks. In SPIE Conf. on All-Optical Networking. 24 A. E. Kamal and A. K. Al- Yatama Sharma, V. and Varvarigos, E. A. (1998). Limited wavelength translation in all-optical wdm mesh networks. In Proceedings of the IEEE INFO COM. , and Somani, A. (1996). Connectivity and sparse wavelength conversion in wavelength-routing networks. In Proceedings of the IEEE INFO COM, pages 148-155. , and Barry, R. (1997). A performance model for wavelength conversion with non-poisson traffic.

L L (y1ij + y 2 ij) ::; 1 VnEN (59) V'iEn \ VE V'jEA; 5. COMMENTS ON THE PROBLEM In paper [2] the authors present different ways of formulating the problem for both single-hop and multihop lightpaths referred to as WavelengthPath (WP) and Virtual Wavelength-Path (VWP) respectively. Among other methods they also use ILP. , r&multiplexing has to be performed. , ATM) switches of large capacities increasing the costs and deteriorating the performance. The advantage of the method proposed in this pape r is that it can differentiate various nodes with flexible functionality.

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