Nekatere s pakiranji povezane lastnosti grafov : doktorska disertacija

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Nekatere s pakiranji povezane lastnosti grafov : doktorska disertacija

Božović, Dragana

V disertaciji se ukvarjamo z različnimi problemi, povezanimi s pakiranji. Disertacija je sestavljena iz štirih delov. Prvi del je namenjen grafom, ki imajo enolično pakirno množico največje moči. ... Najprej predstavimo nekatere lastnosti teh grafov. Nato podamo še dve karakterizaciji dreves z enolično pakirno množico. V drugem delu vpeljemo pojem dimenzije incidenčnosti, ki je neposredno povezana z 2-pakirnim številom grafa, in določimo formulo za njen izračun. Dokažemo, da je problem iskanja incidenčne dimenzije grafa v splošnem NP-poln. Tretji del namenimo pakirnemu kromatičnemu številu leksikografskega produkta grafov. Določimo njegovo spodnjo in zgornjo mejo ter izboljšano zgornjo mejo za primer, ko je prvi faktor v produktu izomorfen poti. V zadnjem delu se posvetimo učinkoviti odprti dominaciji produktov digrafov. Okarakteriziramo učinkovito odprto dominirane direktne in leksikografske produkte digrafov. Pri kartezičnem produktu okarakteriziramo tiste, kjer je prvi faktor usmerjena pot, usmerjen cikel ali zvezda z enim izvorom. Predstavimo tudi karakterizacijo učinkovito odprto dominiranega krepkega produkta, katerega temeljni graf obeh faktorjev je monocikličen graf.

Type of material - dissertation ; adult, serious

Publication and manufacture - Maribor : [D. Božović], 2020

Language - slovenian

COBISS.SI-ID - 39788035

Link(s):
Digital Library of the University of Maribor – DLUM
Digitalna knjižnica Slovenije - dLib.si

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Author
Božović, Dragana

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Peterin, Iztok

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Božović, Dragana	39519
Peterin, Iztok	20839

Source: Personal bibliographies and: SICRIS

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