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An axiomatization of graphs

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Abstract.

The magmoid of hypergraphs labelled over a finite doubly ranked alphabet, is characterized as the quotient of the free magmoid generated by this alphabet divided by a finite set of equations. Thus a relevant open problem, posed by Engelfriet and Vereijken, is being solved.

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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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Correspondence to Symeon Bozapalidis.

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Received: 27 April 2004, Published online: 14 October 2004

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Bozapalidis, S., Kalampakas, A. An axiomatization of graphs. Acta Informatica 41, 19–61 (2004). https://doi.org/10.1007/s00236-004-0149-8

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  • DOI: https://doi.org/10.1007/s00236-004-0149-8

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