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master's thesis
Vjerojatnosna metoda u kombinatorici
Zagreb: University of Zagreb, Faculty of Science, 2021. urn:nbn:hr:217:757853
Lukić, Mateja
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

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Lukić, M. (2021). Vjerojatnosna metoda u kombinatorici (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:757853

Lukić, Mateja. "Vjerojatnosna metoda u kombinatorici." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:757853

Lukić, Mateja. "Vjerojatnosna metoda u kombinatorici." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:757853

Lukić, M. (2021). 'Vjerojatnosna metoda u kombinatorici', Master's thesis, University of Zagreb, Faculty of Science, accessed 22 March 2025, https://urn.nsk.hr/urn:nbn:hr:217:757853

Lukić M. Vjerojatnosna metoda u kombinatorici [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2021 [cited 2025 March 22] Available at: https://urn.nsk.hr/urn:nbn:hr:217:757853

M. Lukić, "Vjerojatnosna metoda u kombinatorici", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:217:757853

Metadata
TitleVjerojatnosna metoda u kombinatorici
Title (english)Probabilistic method in combinatorics
AuthorMateja Lukić
MentorVedran Krčadinac (mentor)
Committee memberVedran Krčadinac (predsjednik povjerenstva)
Committee memberMiljenko Huzak (član povjerenstva)
Committee memberMarko Vrdoljak (član povjerenstva)
Committee memberDražen Adamović (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2021-07-22, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Ovaj rad obrađuje osnovne ideje i primjere vjerojatnosne metode u kombinatorici. Na početku rada se podsjećamo defnicija i rezultata iz teorije vjerojatnosti potrebnih za razumijevanje vjerojatnosne metode. Zatim obrađujemo primjere iz različitih područja kombinatorike u kojima se vidi koliko je, iako ponekad nije nužna, vjerojatnosna metoda praktična. U četvrtom poglavlju obrađujemo dodatne primjere uz pomoć indikatorskih slučajnih varijabli i svojstva linearnosti očekivanja. Također... More spominjemo i metodu preinaka kojom eliminiramo nedostatke nasumičnih struktura. U zadnjem dijelu rada spominjemo nekoliko primjera korištenja vjerojatnosne metode uz pomoć drugog momenta. Less
Abstract (english)
This thesis deals with basic ideas and examples of the probabilistic method in combinatorics. First, we recall the defnitions and results from probability theory that are necessary for understanding the probabilistic method. We, then, deal with examples from different areas of combinatorics showing how, even if it's not always necessary, probabilistic method can be practical. In the fourth chapter, we deal with additional examples using indicator random variables and linearity... More property of expectation. We also mention the alteration method by which we remove blemishes of random structures. In the last part of the thesis, we mention a few examples of using probabilistic method with the help of second moment. Less
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:757853
Study programmeTitle: Mathematical Statistics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2021-09-15 11:39:58
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