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Grafi z enolično ▫$\gamma$▫-množicoCvetrežnik, DarinaV 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, seriousPublication and manufacture - Maribor : [D. Cvetrežnik], 2023Language - slovenianCOBISS.SI-ID - 181386755
Author
Cvetrežnik, Darina
Other authors
Dravec, Tanja
Topics
Grafične metode |
Univerzitetna in visokošolska dela |
magistrska dela |
dominantna množica |
γ-enolični grafi |
drevesa |
bločni grafi |
master theses |
dominating set |
γ-unique graphs |
trees |
block graphs
Library/institution |
City | Acronym | For loan | Other holdings |
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Miklošič Library FPNM, Maribor | Maribor | PEFMB |
reading room 1 cop.
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Cvetrežnik, Darina | |
Dravec, Tanja | 32028 |
Source: Personal bibliographies
and: SICRIS
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