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Solutions for Linear Inequality Systems

Iuliana Dochkova-Todorova
The Faculty of Mathematics and Informatics at St. Cyril and St. Methodius University of Veliko Tarnovo, 83 G. Kozarev str., Veliko Tarnovo 5000 Bulgaria

Abstract: The following are improved methods for finding the cut set Catalan values. These methods require calculating the number of specific solutions of a linear inequality system. The table of cut-set Catalan numbers is completed until n = 29.

Keywords: Cut Set Catalan Numbers, Dissection of a Convex Polygon, Triangulation Solutions for Linear Inequality Systems

DOI:https://doi.org/10.6025/jdp/2023/13/4/111-114

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References:

[1] Dochkowa, J., Harborth, H., Mengersen, I. (1998). Cut set Catalan numbers. Congr. Numer., 130, 133-139.
[2] Dochkova, J., Mengersen, I. (2003). Some new results on cut set Catalan numbers. Utilitas Math., 64, 159-166.
[3] Dochkova, J., Mengersen, I. (2005). Triangle dissections of convex polygons. Utilitas Math., 68, 255-269.
[4] Dochkova, J., Krone, M., Mengersen, I. (Submitted). New values for cut set Catalan numbers. Utilitas Math.
[5] The On-Line Encyclopedia of Integer Sequences. (n.d.). Retrieved from http://oeis.org

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