Routing and assignment of wavelengths for bicube in linear array WDM optical networks

Optical networks leverage the principles of optical communication to transmit data over long distances with high bandwidth and low signal loss. They have lots of applications supporting the backbone of modern communication systems. Wavelength division multiplexing (WDM) enables the simultaneous transmission of many signals with distinct wavelengths via one optical fiber, thereby increasing the overall capacity of the network. One of the significant aspects of designing and managing WDM optical networks involves routing and wavelength assignment (RWA), especially as the demand for high-capacity, low-latency communication continues to grow in recent times. Bicube networks possess many attractive properties, one of the salient features being low diameter as compared to a hypercube. Hence, research using bicube topology is very much prevalent in the last few years. In this paper, we use the technique of congestion to study the RWA problem for bicube in a linear array optical network that uses WDM technology. We also propose algorithms to efficiently compute the minimum number of wavelengths.