Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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A Study of Broline-Crowe-Isaacs Matrices of Polygon Dissections

  • Felipe, Raul (Department of Basic Mathematics, Mathematics Research Center (CIMAT))
  • Received : 2020.03.07
  • Accepted : 2022.04.18
  • Published : 2022.06.30
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Abstract

The work realized by the authors of [4], [5] and [6] associates a non-negative matrix with positive integers entries to each dissection of a polygon. In the particular case of triangulations, these matrices called ℬ𝒞𝒥-matrices here contain valuable information of their frieze patterns, a concept introduced by Coxeter and Conway. This paper is concerned with the algebraic manipulation and properties of these matrices which are derived from operations acting on dissections.

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Acknowledgement

This work was supported by CONACYT, grant 45886.

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