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Title:GEODETSKO IN OVOJNIŠKO ŠTEVILO PRODUKTOV GRAFOV
Authors:ID Mrkonjić, Jasna (Author)
ID Brešar, Boštjan (Mentor) More about this mentor... New window
Files:.pdf UNI_Mrkonjic_Jasna_2010.pdf (754,64 KB)
MD5: 665FCF33EB02146F5C26F287506AEC20
PID: 20.500.12556/dkum/3ee0b25c-be0a-405e-88c2-d3835817a313
 
Language:Slovenian
Work type:Undergraduate thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Diplomsko delo obravnava geodetsko in ovojniško število standardnih produktov grafov s poudarkom na kartezičnem in krepkem produktu. V prvem delu so zapisane osnovne definicije s področja teorije grafov, ki se uporabljajo v nadaljevanju. V naslednjem poglavju si pogledamo grafe, za katere je geodetsko število enako ali za ena manjše od števila vozlišč ter enako za ovojniško število. Sledi poglavje v katerem se osredotočimo na geodetsko in ovojniško število v kartezičnem produktu grafov in si pogledamo robne množice. Zadnji del diplomske naloge je namenjen geodetskemu in ovojniškemu številu v krepkem produktu grafov, kjer so podane meje za obe števili in natančne vrednosti za določene tipe grafov.
Keywords:konveksnost, ovojnica, geodetska množica grafa, geodetsko število, ovojniško število, poln graf, cikel, produkt grafov, kartezični produkt grafov, krepki produkt grafov, robne množice
Place of publishing:Maribor
Publisher:[J. Mrkonjić]
Year of publishing:2010
PID:20.500.12556/DKUM-16773 New window
UDC:51(043.2)
COBISS.SI-ID:18022920 New window
NUK URN:URN:SI:UM:DK:GJ4X9ZY4
Publication date in DKUM:15.12.2010
Views:2877
Downloads:185
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:The geodetic and the hull number of graph products
Abstract:The geodetic and hull number in standard products of graphs is studied in this diploma thesis with special emphasis on the Cartesian and Strong product of graphs. The fifirst chapter contains basic defifinitions from the area of graph theory that are needed later. In the next chapter we take a look at graphs for which the geodetic number is equal or one less than the order of a graph and similar for the hull number. In Chapter 3 the focus is on the geodetic and hull number in the Cartesian product graphs and on their boundary sets. The last part of diploma is devoted to geodetic and hull number in Strong product of graphs, where the bounds and exact values for different types of graphs are given.
Keywords:convexity, hull, geodetic set of a graph, geodetic number, hull number, complete graph, cycle, product graphs, cartesian product, strong product, boundary sets


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