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Programming with MATLAB to color latin squares

  • Shokri, A. [1] ; Golriz, M. [1] ; Alaeiyan, M. [2]
    1. [1] Islamic Azad University

      Islamic Azad University

      Irán

    2. [2] Iran University of Science and Technology

      Iran University of Science and Technology

      Irán

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. Extra 4, 2020 (Ejemplar dedicado a: Special Issue: Mathematical Computation in Combinatorics and Graph Theory; i), págs. 933-943
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-2020-04-0058
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  • Resumen
    • With a Matlab programming we will find the chromatic number for all Latin squares of order smaller than 7. Previously, a manual algorithm for coloring the Latin square was provided. This algoritm determined the chromatic number of some special classes of Latin squares such as Cyclic or Dihedral, so, we tried to speed up the process of this algorithm with a programming.

  • Referencias bibliográficas
    • N. Besharati, L. Goddyn, E. S. Mahmoodian, and M. Mortezaeefar, “On the chromatic number of latin square number of latin square graphs”, Discrete...
    • T. Mora, Ed., Applied algebra, algebraic algorithms and error-correcting codes. Berlin: Springer, 1989, doi: 10.1007/3-540-51083-4
    • M. Mortezaeefar, “Colorings of latin square graphs and block designs”, Master’s thesis, Sharif University of Technology, 2009.
    • K. Shokri, "On the latin square of groups and their coloring", Master’s thesis, Sharif University of Technology, 2015.
    • A. Shokri and M. Golriz, “A new algorithmic method to compute the chromatic number of dihedral group”, in press.
    • I. Wanless, “Transversals in latin squares: a survey,” in Surveys in Combinatorics 2011, R. Chapman, Ed. Cambridge: Cambridge University Press,...

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