Wang tilings and distributed orientation on anonymous torus networks

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

This paper investigates the orientation problem on anonymous n×n torus networks. In the orientation problem, the goal is to reach an agreement, among all processors, on a consistent channel labelling. This paper shows that, if processors can label their channels arbitrarily, then there is no distributed orientation algorithm. Therefore the orientation problem is studied in various orientation models M that restrict local channel labellings. For many M, there are network labellings that, to the processors, are indistinguishable from orientations. These pseudo-orientations give rise to two problems related to orientation. In the verification problem, processors in an n×n torus distributively verify whether a network labelling in M is an orientation. The verification problem is shown to be equivalent to a problem of tiling the torus with Wang tiles. In the pseudo-orientation problem, the goal is to distributively find a pseudo-orientation. The pseudo-orientation problem is shown to be equivalent to a problem in graph theory.

Original languageEnglish (US)
Title of host publicationDistributed Algorithms - 7th International Workshop, WDAG 1993, Proceedings
EditorsAndre Schipe
PublisherSpringer Verlag
Pages264-278
Number of pages15
ISBN (Print)9783540572718
StatePublished - Jan 1 1993
Externally publishedYes
Event7th International Workshop on Distributed Algorithms, WDAG 1993 - Lausanne, Switzerland
Duration: Sep 27 1993Sep 29 1993

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume725 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other7th International Workshop on Distributed Algorithms, WDAG 1993
CountrySwitzerland
CityLausanne
Period9/27/939/29/93

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Syrotiuk, V. R., Colbourn, C. J., & Pachl, J. (1993). Wang tilings and distributed orientation on anonymous torus networks. In A. Schipe (Ed.), Distributed Algorithms - 7th International Workshop, WDAG 1993, Proceedings (pp. 264-278). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 725 LNCS). Springer Verlag.