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undergraduate thesis
Turanov teorem
2021. urn:nbn:hr:126:852405
Rechner, Matej
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

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Rechner, M. (2021). Turanov teorem (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:852405

Rechner, Matej. "Turanov teorem." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:852405

Rechner, Matej. "Turanov teorem." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:852405

Rechner, M. (2021). 'Turanov teorem', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 13 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:852405

Rechner M. Turanov teorem [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2021 [cited 2024 November 13] Available at: https://urn.nsk.hr/urn:nbn:hr:126:852405

M. Rechner, "Turanov teorem", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:126:852405

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Metadata
TitleTuranov teorem
Title (english)Turan's Theorem
AuthorMatej Rechner
MentorSnježana Majstorović (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2021-09-24, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Discrete and Combinatorial Mathematics
Abstract
U ovom radu naveden je Turánov teorem i neki njegovi dokazi. Najprije su navedena dva različita dokaza za jednostavni specijalni slučaj teorema, poznat kao Mantelov teorem, a zatim je detaljno navedeno pet različitih dokaza za općeniti slučaj. Prva tri dokaza se uglavnom oslanjaju na teoriju grafova i metode prebrojavanja, a preostala dva na matematičku analizu, algebru i vjerojatnost.
Abstract (english)
This paper deals with Turán’s theorem and some of it’s proofs. At first, two different proofs are given for special simple case of Turán’s theorem called Mantel’s theorem. Then, five proofs are listed for the general case. First three rely almost exclusively on graph theory and counting methods, while the other two rely on mathematical analysis, algebra, and probability.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:852405
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2021-10-06 06:10:59