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Title:RETRAKTI KREPKIH GRAFOVSKIH SVEŽNJEV
Authors:ID Dukarić, Maša (Author)
ID Zmazek, Blaž (Mentor) More about this mentor... New window
Files:.pdf UNI_Dukaric_Masa_2012.pdf (567,69 KB)
MD5: 8A3709CFB398BDFB31322EF2F1753FA4
PID: 20.500.12556/dkum/b0d3b221-4657-4a5c-baf2-ba723d88b884
 
Language:Slovenian
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V diplomskem delu so obravnavani retrakti krepkih grafovskih produktov ter krepkih grafovskih svežnjev, ki so osrednja tema tega diplomskega dela. Obravnavan je tudi pojem kanonične retrakcije, tako krepkih grafovskih produktov kot tudi krepkih grafovskih svežnjev. Uvodno poglavje je namenjeno spoznavanju osnovnih definicij teorije grafov in krepkih grafovskih produktov, ki so potrebne pri razumevanju diplomskega dela. Nato so obravnavani retrakti krepkih grafovskih produktov, njihove lastnosti ter potrebni pogoji, da je retrakcija kanonična. V zadnjem poglavju definiramo krepke grafovske svežnje, obravnavamo njihove retrakte ter lastnosti le-teh. Povedano je tudi kako retrakcija preslika določen sloj vlakna ter kdaj je retrakcija krepkih grafovskih svežnjev kanonična.
Keywords:teorija grafov, krepki grafovski produkt, krepki grafovski sveženj, retrakt, kanonična retrakcija
Place of publishing:Maribor
Publisher:[M. Dukarić]
Year of publishing:2012
PID:20.500.12556/DKUM-36608 New window
UDC:51(043.2)
COBISS.SI-ID:19240968 New window
NUK URN:URN:SI:UM:DK:7HGWRBH2
Publication date in DKUM:16.07.2012
Views:3129
Downloads:116
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:RETRACTS OF STRONG GRAPH BUNDLES
Abstract:In this graduation thesis retracts of strong graph products and of strong graph bundles are investigated, which are the main theme of this thesis. Also the concept of canonical retraction of strong graph product and bundles is investigated. At first basic definitions of graph theory and definition of strong graph products are presented, which are needed in comprehension of this thesis. Further on retracts of strong products, their properties and necessary conditions for retraction as canonical retraction are represented. In the last chapter strong graph bundles are defined, their retracts are discussed as well as their properties. It is told how retraction maps provided layers of fiber and when retraction of strong graph bundle is canonical.
Keywords:graph theory, strong graph product, strong graph bundle, retract, canonical retraction


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