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Title:Učinkovita odprta in zaprta dominacija na drevesih
Authors:ID Gašpar, Uroš (Author)
ID Peterin, Iztok (Mentor) More about this mentor... New window
Files:.pdf MAG_Gaspar_Uros_2018.pdf (426,49 KB)
MD5: A331D8E60AC6EDD4C68B23F57F4F3894
PID: 20.500.12556/dkum/dbd3c655-688d-4a48-876e-b7bf562fef99
 
Language:Slovenian
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V magistrskem delu smo predstavili učinkovito odprte in zaprte dominacije. Omenjena pojma posebej obravnavamo na drevesih. V nadaljevanju magistrskega dela se posvetimo preseku obeh razredov, ki ga imenujemo učinkovito odprto-zaprto dominirana drevesa. Zelo zanimivo je dejstvo, da je za izgradnjo učinkovito odprto-zaprto dominiranih dreves potrebnih le pet operacij, ki jih podrobneje dokažemo v magistrskem delu. V prvem delu magistrskega dela smo podali osnovne pojme in definicije, ki jih nato uporabljamo skozi celotno magistrsko delo. V drugem poglavju definiramo in podamo lastnosti učinkovito odprto dominiranih dreves. V tretjem poglavju podrobneje pogledamo učinkovito zaprto dominirana drevesa. V zadnjem četrtem poglavju na začetku podamo lastnosti, ki veljajo za učinkovito odprto-zaprto dominirane grafe ter se nato posebej posvetimo samo učinkovito odprto-zaprto dominiranim drevesom. Podamo vseh pet operacij, ki so značilne za izgradnjo omenjenih dreves.
Keywords:učinkovito odprto dominirana množica, učinkovito zaprto dominirana množica, učinkovito odprto-zaprto dominirana množica, drevo
Place of publishing:Maribor
Publisher:[U. Gašpar]
Year of publishing:2018
PID:20.500.12556/DKUM-71205 New window
UDC:519.172.1(043.2)
COBISS.SI-ID:24027400 New window
NUK URN:URN:SI:UM:DK:56YP9KZK
Publication date in DKUM:24.09.2018
Views:1067
Downloads:99
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Licences

License:CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:24.07.2018

Secondary language

Language:English
Title:Efficient open and close domination on trees
Abstract:This master's thesis presents efficient open and close domininations and addresses them particularly in trees. We look at the section between both, called efficient open-close dominination trees. Interestingly, only five operations are required to build an efficient open-close dominination tree and those five operations will be further proven in the thesis. The first chapter defines the basic concepts used throughout the whole thesis. The second chapter defines and describes the efficient open domininations on trees. In the third chapter we take a closer look at efficient close domininations on trees. In the last, fourth, chapter we first define the characteristics of efficient open-close domininated graphs, and then specifically focus on only efficient open-close domininated trees. We provide the five operations specific to building the aforementioned trees.
Keywords:Efficient open dominination, Efficient close dominination, Efficient open-close dominination, Tree


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