Catalanovi brojevi i njihovi rastavi

Iveković, Ivana (2015) Catalanovi brojevi i njihovi rastavi. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

Catalan sequence of numbers is integer sequence with combinatorial context. It occurs as sequence in many widely studied classes of combinatorial objects such as the partitioning of a polygon into triangles, the binary bracketing of n + 1 terms, integral lattice walks, Dyck’s paths, problem of binary trees etc. Furthermore, they appear in a lot of unexpected places. In this paper we described their manifestation and presented bijections with different combinatorial objects. We also presented various triangle representations of Catalan numbers and studied properties of this triangles. Finally, we introduced some combinatorial interpretations of these numbers.

Item Type: Thesis (Diploma thesis)
Supervisor: Došlić, Tomislav
Date: 2015
Number of Pages: 42
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 03 Jun 2015 08:38
Last Modified: 03 Jun 2015 08:38
URI: http://digre.pmf.unizg.hr/id/eprint/3950

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