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Title:Število mavrične povezanosti v grafu
Authors:ID Pišek, Jasmina (Author)
ID Peterin, Iztok (Mentor) More about this mentor... New window
Files:.pdf UNI_Pisek_Jasmina_2011.pdf (1000,32 KB)
MD5: 6C4D18C5DC2739B07F0510E582AD0B21
PID: 20.500.12556/dkum/4a991379-0927-403f-9326-0786f4057557
 
Language:Slovenian
Work type:Undergraduate thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Diplomska naloga obravnava števila mavrične in krepke mavrične povezanosti v grafih. Na začetku predstavimo osnovne pojme teorije grafov, ki so potrebni za razumevanje nadaljne snovi. V nalogo so vključena števila mavričnih in krepkih mavričnih barvanj za nekatere dobro znane grafe. Vključena so tudi števila mavrične povezanosti s predpisanimi vrednostmi. Konec pa vključuje mavrično in krepko mavrično barvanje krepkega in leksiografskega produkta.
Keywords:graf, polni graf, polni dvodelni graf, cikel, kolesa, pot, drevo, barvanje povezav, (krepko) mavrično barvanje, število (krepkega) mavričnega barvanja, krepki produkt, leksiografski produkt
Place of publishing:Maribor
Publisher:[J. Pišek]
Year of publishing:2011
PID:20.500.12556/DKUM-21000 New window
UDC:51(043.2)
COBISS.SI-ID:18720008 New window
NUK URN:URN:SI:UM:DK:UXFSN70U
Publication date in DKUM:26.10.2011
Views:2709
Downloads:140
Metadata:XML DC-XML DC-RDF
Categories:FNM
:
PIŠEK, Jasmina, 2011, Število mavrične povezanosti v grafu [online]. Bachelor’s thesis. Maribor : J. Pišek. [Accessed 7 April 2025]. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=21000
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Secondary language

Language:English
Title:Rainbow connection in graphs
Abstract:This thesis focuses on the rainbow connection number and strong rainbow connection number in the graph. We start by presenting the basic concepts of graph theory needed to understand the thesis. The task included the rainbow connection number and strong rainbow connection number of some well known graphs. The rainbow connection number with the prescribed values are also included. At the end we study rainbow connection number and strong rainbow connection number on strong and lexicographic product.
Keywords:graph, complete graph, complete bipartite graph, cycle, wheels, path, tree, edge coloring, (strong) rainbow coloring, (strong) rainbow connection number, strong product, lexicographic product


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