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Loops, regular permutation sets and colourings of directed graphs

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Abstract

We establish a correspondence among loops, regular permutation sets and directed graphs with a suitable edge colouring and characterize regular permutation sets and, respectively, colored graphs giving rise to the same loop, to isomorphic loops and to isotopic loops.

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Authors and Affiliations

  1. DICATAM – Sezione di Matematica, Università degli Studi di Brescia, via Branze 43, 25123, Brescia, Italy

    Stefano Pasotti & Elena Zizioli

Authors
  1. Stefano Pasotti
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  2. Elena Zizioli
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Correspondence to Stefano Pasotti.

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Research supported by MIUR (Italy).

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Pasotti, S., Zizioli, E. Loops, regular permutation sets and colourings of directed graphs. J. Geom. 106, 35–45 (2015). https://doi.org/10.1007/s00022-014-0230-6

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  • DOI: https://doi.org/10.1007/s00022-014-0230-6

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