In this paper, we provide low-congested interval rout- ing schemes (IRS) for some common interconnec- tion networks such as butterflies, wrapped butterflies, and cube-connected cycles. In particular, by exploit- ing their hypercubelike structure, we show that 1-IRS and 2-IRS are already sufficient to get schemes with a congestion which is at most c times the optimal one, for low constant values of c. All such schemes have also a small dilation proportional to the diame- ter. Moreover, a new lower bound on the congestion achievable by schemes for butterfly networks is pro- vided, which improves upon the best previously known one
Low Congested Interval Routing Schemes for Hypercube-Like Networks
CICERONE, SERAFINO;DI STEFANO, GABRIELE;FLAMMINI, MICHELE
2000-01-01
Abstract
In this paper, we provide low-congested interval rout- ing schemes (IRS) for some common interconnec- tion networks such as butterflies, wrapped butterflies, and cube-connected cycles. In particular, by exploit- ing their hypercubelike structure, we show that 1-IRS and 2-IRS are already sufficient to get schemes with a congestion which is at most c times the optimal one, for low constant values of c. All such schemes have also a small dilation proportional to the diame- ter. Moreover, a new lower bound on the congestion achievable by schemes for butterfly networks is pro- vided, which improves upon the best previously known oneFile in questo prodotto:
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