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master's thesis
Latinski kvadrati i primjene
Zagreb: University of Zagreb, Faculty of Science, 2023. urn:nbn:hr:217:212558
Kučić, Antun
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Kučić, A. (2023). Latinski kvadrati i primjene (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:212558

Kučić, Antun. "Latinski kvadrati i primjene." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:212558

Kučić, Antun. "Latinski kvadrati i primjene." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:212558

Kučić, A. (2023). 'Latinski kvadrati i primjene', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:212558

Kučić A. Latinski kvadrati i primjene [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2023 [cited 2024 November 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:212558

A. Kučić, "Latinski kvadrati i primjene", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:217:212558

Metadata
TitleLatinski kvadrati i primjene
Title (english)Latin squares and applications
AuthorAntun Kučić
MentorSonja Žunar (mentor)
Committee memberSonja Žunar (predsjednik povjerenstva)
Committee memberMiljenko Huzak (član povjerenstva)
Committee memberOzren Perše (član povjerenstva)
Committee memberHrvoje Planinić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2023-09-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu proučavamo osnovna svojstva i neke od primjena latinskih kvadrata. Uvodimo pojmove usko vezane uz latinske kvadrate i razmatramo njihova svojstva i međusobnu povezanost. Povezujemo latinske kvadrate s teorijom grafova, tj. s potpunim grafovima, Hamiltonovim putevima i Eulerovim turama. Na kraju rada uvodimo pojmove magičnog kvadrata i Roomovog kvadrata te opisujemo i provodimo neke od načina njihove konstrukcije.
Abstract (english)
In this thesis, we study the basic properties and some applications of Latin squares. We introduce terms closely related to Latin squares and consider their properties and interrelationships. We connect Latin squares with graph theory, i.e. with complete graphs, Hamiltonian paths and Euler tours. At the end of the thesis, we introduce the concepts of a magic square and a Room square, and describe and implement some ways of their construction.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:212558
Study programmeTitle: Financial and Business Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: sveučilišni magistar matematike (sveučilišni magistar matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-02-02 09:31:34