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International Conference on Discrete Mathematics and Theoretical Computer Science

DMTCS 2003: Discrete Mathematics and Theoretical Computer Science pp 118–128Cite as

A Finite Complete Set of Equations Generating Graphs

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2731))

Abstract

It was known that every graph can be constructed from a finite list of elementary graphs using the operations of graph sum and graph composition. We determine a complete set of “equations” or rewriting rules with the property that two expressions represent the same graph if and only if one can be transformed into the other by means of these rules.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Aristotle University of Thessaloniki, 54006, Thessaloniki, Greece

    Symeon Bozapalidis & Antonios Kalampakas

Authors
  1. Symeon Bozapalidis
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  2. Antonios Kalampakas
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Auckland, Maths-Physics Building 303, 38 Princes St., Auckland, New Zealand

    Cristian S. Calude  & Michael J. Dinneen  & 

  2. Université de Bourgogne, LE2I, B.P. 47870, 21078, Dijon Cedex, France

    Vincent Vajnovszki

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© 2003 Springer-Verlag Berlin Heidelberg

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Bozapalidis, S., Kalampakas, A. (2003). A Finite Complete Set of Equations Generating Graphs. In: Calude, C.S., Dinneen, M.J., Vajnovszki, V. (eds) Discrete Mathematics and Theoretical Computer Science. DMTCS 2003. Lecture Notes in Computer Science, vol 2731. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45066-1_9

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  • DOI: https://doi.org/10.1007/3-540-45066-1_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40505-4

  • Online ISBN: 978-3-540-45066-5

  • eBook Packages: Springer Book Archive

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