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Ars Combinatoria

  • Research article

A Method to Compute the Number of Regular Reversible Rosenberg Hypergroups

Morteza Jafarpour1, Irina Cristea2,3, Ali Tavakoli1
1Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran;
2CSIT, University of Nova Gorica, Slovenia
3DICA, University of Udine, Italy
  • Published: 31/07/2016

Abstract

The purpose of this note is the study of the hypergroups associated with binary relations. New types of matrices, called \(i\)-very good and regular reversible matrices, are introduced in order to give some properties of the Rosenberg hypergroups related to them. A program written in MATLAB computes the number of these hypergroups up to isomorphism.

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Citation
Morteza Jafarpour, Irina Cristea, Ali Tavakoli. A Method to Compute the Number of Regular Reversible Rosenberg Hypergroups[J], Ars Combinatoria, Volume 128. 309-329. .