20.500.12556/DKUM-36608 RETRAKTI KREPKIH GRAFOVSKIH SVEŽNJEV RETRACTS OF STRONG GRAPH BUNDLES 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. 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. teorija grafov krepki grafovski produkt krepki grafovski sveženj retrakt kanonična retrakcija graph theory strong graph product strong graph bundle retract canonical retraction true true false [M. Dukarić] Slovenski jezik Angleški jezik Diplomsko delo 2012-06-17 19:22:52 2012-07-16 14:10:57 2022-04-20 08:53:35 2021-04-15 03:48:14 2012 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51(043.2) 19240968 URN:SI:UM:DK:7HGWRBH2 UNI_Dukaric_Masa_2012.pdf UNI_Dukaric_Masa_2012.pdf 1 8A3709CFB398BDFB31322EF2F1753FA4 f82ffde316d1d80684c6359f3d119df59f2a6c2fb61ea9120fa13cf6fa1488f6 167063a2-7c08-11eb-bb7a-00155d0001ca 20.500.12556/dkum/b0d3b221-4657-4a5c-baf2-ba723d88b884 https://dk.um.si/Dokument.php?lang=slv&id=47827 Fakulteta za naravoslovje in matematiko 0 0 0