Catalanovi brojevi i njihovi rastavi

Iveković, Ivana

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master's thesis

Catalanovi brojevi i njihovi rastavi

Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:433189

Iveković, Ivana

University of Zagreb
Faculty of Science
Department of Mathematics

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APA 6th Edition

Iveković, I. (2015). Catalanovi brojevi i njihovi rastavi (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:433189

MLA 8th Edition

Iveković, Ivana. "Catalanovi brojevi i njihovi rastavi." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:433189

Chicago 17th Edition

Iveković, Ivana. "Catalanovi brojevi i njihovi rastavi." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:433189

Harvard

Iveković, I. (2015). 'Catalanovi brojevi i njihovi rastavi', Master's thesis, University of Zagreb, Faculty of Science, accessed 17 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:433189

Vancouver

Iveković I. Catalanovi brojevi i njihovi rastavi [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 November 17] Available at: https://urn.nsk.hr/urn:nbn:hr:217:433189

IEEE

I. Iveković, "Catalanovi brojevi i njihovi rastavi", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:433189

Cite this item: https://urn.nsk.hr/urn:nbn:hr:217:433189

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Metadata

Title	Catalanovi brojevi i njihovi rastavi
Author	Ivana Iveković
Mentor	Tomislav Došlić (mentor)
Committee member	Tomislav Došlić (predsjednik povjerenstva)
Committee member	Zvonko Iljazović (član povjerenstva)
Committee member	Matija Kazalicki (član povjerenstva)
Committee member	Igor Pažanin (član povjerenstva)
Granter	University of Zagreb Faculty of Science (Department of Mathematics) Zagreb
Defense date and country	2015-02-27, Croatia
Scientific / art field, discipline and subdiscipline	NATURAL SCIENCES Mathematics
Abstract	Catalanov niz brojeva je cjelobrojni niz kombinatornog karaktera. Osim što se pojavljuju kao niz u mnogim područjima kombinatornih objekata, među kojima su poznatiji particije poligona na trokute, binarno sastavljanje zagrada (n + 1)-članih izraza, šetnja po cjelobrojnoj mreži, Dyckovi putevi, problem binarnih stabala, također se manifestiraju na mnogo neočekivanih mjesta. U ovom radu opisali smo njihova pojavljivanja te pokazali razne bijekcije s drugim kombinatornim objektima. Također smo pokazali više primjera njihovih trokutastih prikaza te proučavali svojstva dobivenih trokuta. Rad smo zaključili kombinatornim interpretacijama Catalanovih brojeva.
Abstract (english)	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.
Keywords
Keywords (english)
Language	croatian
URN:NBN	urn:nbn:hr:217:433189
Study programme	Title: Mathematical Statistics Study programme type: university Study level: graduate Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resource	Text
File origin	Born digital
Access conditions	Access restricted to students and staff of home institution
Terms of use
Repository	Repository of the Faculty of Science
Created on	2019-01-30 14:15:25