A Generalization of the Generalized Petersen Graphs and N2R Network Structures

J.M. Pedersen, T.M. Riaz, R.H. Nielsen, O.B. Madsen (Denmark)

Keywords

Computer Networks, Graph Theory, Network Structures, Quality of Service Issues.

Abstract

Recently N2R network topologies, which are a subset of the Generalized Petersen Graphs - have been introduced as an alternative to Double Rings. They have been shown to be superior compared to double rings in terms of average distance, diameter and several other parameters. In this pa per a further generalization is introduced, with two inner rings instead of just one. By having different jump lengths of these two inner rings it is shown that the distances are signi´Čücantly reduced while the topologies are still 3-regular and 3-connected. It is a minor drawback that these new topologies are less symmetric, but we show that the dis tance parameters are quite similar regardless of which node in the network they are measured from.

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