
Number of wavelengths required in m ‐arity tree networks
Author(s) -
Abbas R.S.,
AlAboody N.,
AlRaweshidy H.S.
Publication year - 2014
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2014.3125
Subject(s) - arity , tree (set theory) , wavelength , computer science , mathematics , optics , physics , discrete mathematics , combinatorics
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.