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Graphical and Computational Representation of Groups

  • Alain Bretto
  • Luc Gillibert
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3039)

Abstract

An important part of the computer science is focused on the links that can be established between group theory and graph theory. Cayley graphs can establish such a link but meet some limitations. This paper introduces a new type of graph associated to a group: the G-graphs. We present an implementation of the algorithm constructing these new graphs. We establish a library of the most common G-graphs, using GAP and the SmallGroups library. We give some experimental results with GAP and we show that many classical graphs are G-graphs.

Keywords

Abelian Group Cayley Graph Computational Representation Classical Graph Procedure Construct 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Alain Bretto
    • 1
  • Luc Gillibert
    • 1
  1. 1.Université de Caen, GREYC CNRS UMR-6072Caen cedexFrance

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