Grafi z enolično [gamma]-množico : na magistrskem študijskem programu Izobraževalna matematika - enopredmetna : magistrsko delo

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Grafi z enolično ▫$\gamma$▫-množico

Cvetrežnik, Darina

V magistrskem delu podrobneje obravnavamo grafe z enolično ▫$γ$▫-množico oziroma ▫$γ$▫-enolične grafe. To so grafi, ki imajo natanko eno najmanjšo dominantno množico. Sprva zapišemo nekaj osnovnih ... definicij in trditev o grafih, nato posebej obravnavamo dve družini grafov, in sicer drevesa ter bločne grafe. Podrobneje opišemo dominantno množico in dominantno število grafa. Dokažemo nekaj potrebnih in nekaj zadostnih pogojev za grafe z natanko eno ▫$γ$▫-množico. Nato se osredotočimo na drevesa. Predstavimo dve karakterizaciji ▫$γ$▫-enoličnih dreves ter obe karakterizaciji posplošimo na ▫$γ$▫-enolične bločne grafe. Nazadnje opišemo konstrukcijo ▫$γ$▫-enoličnih grafov oziroma zapišemo štiri operacije, ki jih lahko uporabimo nad ▫$γ$▫-enoličnimi grafi, da bo na novo dobljen graf ponovno ▫$γ$▫-enoličen.

Type of material - master's thesis ; adult, serious

Publication and manufacture - Maribor : [D. Cvetrežnik], 2023

Language - slovenian

COBISS.SI-ID - 181386755

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

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Availability in libraries

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
Cvetrežnik, Darina
Dravec, Tanja	32028

Source: Personal bibliographies and: SICRIS

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