1. Number of wavelengths required in m ‐arity tree networks
- Author
-
Hamed S. Al-Raweshidy, Rafed Sabbar Abbas, and Nadia Al-Aboody
- Subjects
Combinatorics ,Wavelength ,Tree (data structure) ,Hardware_GENERAL ,ComputerSystemsOrganization_COMPUTER-COMMUNICATIONNETWORKS ,Wavelength allocation ,Physics::Optics ,Data_CODINGANDINFORMATIONTHEORY ,Electrical and Electronic Engineering ,Wavelength conversion ,Arity ,Topology ,Mathematics - Abstract
A theory to allocate a wavelength in the tree networks coordinated arrangement in m-arity networks is proposed. Wavelength required equations to support all-to-all unicasting in the network according to its depth are presented. Three cases are examined: when nodes are only targets, sources or target and source in the same time. The trade-off between wavelength cost and wavelength conversion cost is considered; therefore, concentration is on wavelength allocation without conversion.
- Published
- 2014