On devising Boolean Routing schemes

  • Michele Flammini
  • Giorgio Gambosi
  • Sandro Salomone
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1017)


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.


Parallel and distributed systems compact routing tables shortest paths representation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 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
  2. 2.
    N. Santoro and R. Khatib. Labelling and implicit routing in networks. The Computer Journal, 28:5–8, 1985.CrossRefGoogle Scholar
  3. 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
  4. 4.
    J. van Leeuwen and R.B. Tan. Interval routing. The Computer Journal, 30:298–307, 1987.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Michele Flammini
    • 1
    • 3
  • Giorgio Gambosi
    • 2
  • Sandro Salomone
    • 3
  1. 1.Dipartimento di Informatica e SistemisticaUniversity of Rome “La Sapienza”;RomeItaly
  2. 2.Dipartimento di MatematicaUniversity of Rome “Tor Vergata”;RomeItaly
  3. 3.Dipartimento di Matematica Pura ed ApplicataUniversity of L'Aquilal'AquilaItaly

Personalised recommendations