Prirejanja v dvodelnih grafih : diplomsko delo

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Prirejanja v dvodelnih grafih : diplomsko delo

Burič, Maja

Diplomsko delo z naslovom Prirejanja v dvodelnih grafih je razdeljeno na tri dele.Prvo poglavje opisuje osnovne pojme v teoriji grafov. Na kratko so predstavljene tiste osnovne definicije in ... lastnosti grafov, ki so potrebne za lažje nadaljno razumevanje snovi. Podrobneje so obravnavani dvodelni grafi in njihove lastnosti. Dokazan je izrek, ki karakterizira dvodelne grafe kot tiste grafe, ki nimajo lihih ciklov. V drugem poglavju sta predstavljeni definiciji prirejanja in pokritija. Zapisane in slikovno ponazorjene so definicije prirejanja in pokritja, kar je pomembno za celotno obravnavo diplomskega dela. V tretjem in najpomembnejšem poglavju povežemo vso prejšnjo snov v celoto in razložimo celotno temo diplomskega dela. Dokažemo dva najpomembnejša izreka o dvodelnih grafih; Königov izrek o moči največjega prirejanja v dvodelnem grafu in Hallov izrek, ki podaja potreben in zadosten pogoj za obstoj prirejanja, ki pokrije enega izmed obeh delov dvodelne particije. Ta dva izreka sta za lažje razumevanje tudi predstavljena na primerih. Diplomsko nalogo zaključimo s posledicami, ki sledijo Hallovemu izreku in njihovimi dokazi.

Type of material - undergraduate thesis ; adult, serious

Publication and manufacture - Maribor : [M. Burič], 2015

Language - slovenian

COBISS.SI-ID - 21498888

Link(s):
Digital Library of the University of Maribor – DLUM

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Library/institution	City	Acronym	For loan	Other holdings
Miklošič Library FPNM, Maribor	Maribor	PEFMB	reading room 1 cop.

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Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Burič, Maja
Špacapan, Simon	24904

Source: Personal bibliographies and: SICRIS

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