On devising Boolean Routing schemes
In this paper, the problem of routing messages along shortest paths in a network of processors without using complete routing tables is considered.
The Boolean Routing model is considered and it is shown that it provides optimal representations of all shortest routes on some specific network topologies (such as paths, rings, trees, hypercubes, different types of d-dimensional grids, complete graphs and complete bipartite graphs). Moreover, it is also shown that the model deals efficiently with graphs resulting from applying some types of graph compositions, thus resulting in very efficient routing schemes for some classes of networks with regular topology. This is done by considering different significant cost measures of the space efficiency of the schemes considered.
KeywordsParallel and distributed systems compact routing tables shortest paths representation
Unable to display preview. Download preview PDF.
- 1.M. Flammini, G. Gambosi, and S. Salomone. Boolean routing. In Proceedings 7th International Workshop on Distributed Algorithms (WDAG), volume 725 of Lecture Notes in Computer Science, pages 219–233. Springer-Verlag, 1993.Google Scholar
- 3.J. van Leeuwen and R.B. Tan. Routing with compact routing tables. In G. Rozemberg and A. Salomaa, editors, The book of L, pages 259–273. Springer-Verlag, 1986.Google Scholar