A Study of Broline-Crowe-Isaacs Matrices of Polygon Dissections

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 BCI-matrices here contain valuable information of their frieze patterns, a concept int...

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Veröffentlicht in:Kyungpook mathematical journal 2022, 62(2), , pp.289-321
1. Verfasser: Raul Felipe(Mathematics Research Center
Format: Artikel
Sprache:eng
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Zusammenfassung: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 BCI-matrices here contain valuable information of their frieze patterns, a concept introduced by Coxeter and Conway. This paper is con cerned with the algebraic manipulation and properties of these matrices which are derived from operations acting on dissections. KCI Citation Count: 0
ISSN:1225-6951
0454-8124
DOI:10.5666/KMJ.2022.62.2.289