Interval Routing & Layered Cross Product: Compact Routing Scheme for Butterflies, Mesh of Trees and Fat Trees (extended abstract)

Tiziana Calamoneri and Miriam Di Ianni

Abstract
We propose compact routing schemes having space and time complexitiescomparable to a 2-Interval Routing Scheme for the whole class ofnetworks decomposable as Layered Cross Product (LCP) of rooted trees.As a consquence, we design a 'quasi' 2-Interval Routing Scheme forbutterflies, meshes of trees and fat trees.Then we extend our scheme to a class of networks slightly larger than the LCP of trees. Finally, we show that a compact routing scheme for networks which are LCP of general cyclic graphs cannot be found by any method using only information about shortest paths on the factors.
Contact
Tiziana Calamoneri
Dipartimento di Scienze dell'Informazione,Universita' di Roma "La Sapienza",via Salaria, 113,I-OO198, ROME, ITALY
calamo@dsi.uniroma1.it