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The Computer Journal 1985 28(1):5-8; doi:10.1093/comjnl/28.1.5
© 1985 by British Computer Society
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Labelling and Implicit Routing in Networks

N. Santoro1 * and R. Khatib2 §

1 Distributed Computing Group, School of Computer Science, Carleton University, Ottawa, Canada, 2 Departement d'Informatique, Universite d'Ottawa, Ottawa, Canada

The routing problem in networks is solved by either maintaining at every node detailed routing information for all destinations (explicit routing) or by exploiting the information implicit in an a-priori labelling of nodes and links (implicit routing). Efficient implicit routing algorithms are known only for networks modelled by graphs having special topologies (e.g. ring, hypercube). In this paper, a labelling scheme for graphs of arbitrary topology is presented, and an implicit routing algorithm is derived. The proposed algorithm is shown to be optimal for acyclic graphs, and to exhibit a worst-case complexity which is within a factor of two from the optimal solution for graphs of arbitrary topology. Limitations to the applicability of the proposed solutions to communication networks are discussed.


* Distributed Computing Group, School of Computer Science, Carleton University, Ottawa, K1S 5B6, Canada

§ Département d'Informatique, Université d'Ottawa, Ottawa K1N 5B4, Canada


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