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master's thesis
Ramseyjeva teorija na cijelim brojevima
Zagreb: University of Zagreb, Faculty of Science, 2023. urn:nbn:hr:217:038787
Flanjak, Ana
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Flanjak, A. (2023). Ramseyjeva teorija na cijelim brojevima (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:038787

Flanjak, Ana. "Ramseyjeva teorija na cijelim brojevima." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:038787

Flanjak, Ana. "Ramseyjeva teorija na cijelim brojevima." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:038787

Flanjak, A. (2023). 'Ramseyjeva teorija na cijelim brojevima', Master's thesis, University of Zagreb, Faculty of Science, accessed 29 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:038787

Flanjak A. Ramseyjeva teorija na cijelim brojevima [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2023 [cited 2024 December 29] Available at: https://urn.nsk.hr/urn:nbn:hr:217:038787

A. Flanjak, "Ramseyjeva teorija na cijelim brojevima", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:217:038787

Metadata
TitleRamseyjeva teorija na cijelim brojevima
Title (english)Ramsey theory on integers
AuthorAna Flanjak
MentorSonja Žunar (mentor)
Committee memberSonja Žunar (predsjednik povjerenstva)
Committee memberVjekoslav Kovač (član povjerenstva)
Committee memberMatija Kazalicki (član povjerenstva)
Committee memberLjiljana Arambašić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2023-05-05, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu razmotrili smo osnovne teoreme Ramseyjeve teorije te se također usredotočili na ranu fazu njezina razvoja. Pokazali smo kako je računanje Ramseyjevih brojeva vrlo zahtjevan proces, pri čemu je do danas poznato samo 9 netrivijalnih Ramseyjevih brojeva. Nadalje, ukazali smo na primjene Ramseyjeve teorije u rješavanju problema iz stvarnog života. Konačno, predstavili smo jedan od mogućih algoritama za računanje Ramseyjevih brojeva.
Abstract (english)
In this master’s thesis, we considered the basic theorems of Ramsey theory and focused on the early stage of its development. We have shown that the computation of Ramsey numbers is a very demanding process, as only 9 non-trivial Ramsey numbers are known to date. In addition, we highlighted the applications of Ramsey theory in solving real-life problems. Finally, we presented one of the possible algorithms for computing Ramsey numbers.
Keywords
Languagecroatian
URN:NBNurn:nbn:hr:217:038787
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 on2024-02-08 15:33:01