Routing and flow control on the MetaNet: an overview
Computer Networks and ISDN Systems - Special issue: media-access techniques for high-speed LANs and MANs
Cost-Performance Trade-Offs in Manhattan Street Network Versus 2-D Torus
IEEE Transactions on Computers
Performance analysis of mean internodal distance of connective semi-random networks
INFOCOM '95 Proceedings of the Fourteenth Annual Joint Conference of the IEEE Computer and Communication Societies (Vol. 1)-Volume - Volume 1
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In this paper we study networks based on torus topologies enhanced with additional, arbitrary assigned links. We develop a method for analyzing the expected number of hops which can be applied to any torus topology with randomly assigned extra links when the simplest greedy routing is used. Using this method, we study the following topologies with extra links: one-dimensional unidirectional and bidirectional torus (i.e., rang), and two-dimensional bidirectional and unidirectional torus (e.g., Bidirectional Manhattan Network and Manhattan Street Network). We also show how these results can be extended to some non-torus topologies with extra links, such as the bus and the two-dimensional grid. From our analysis we find that the expected number of hops an a D-dimensional N-node torus with extra links grows as O(D+1√N) and that it can be reduced to O(2D√N) with the orthogonal assignment of extra links.