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Title:IZREKI NORDHAUS-GADDUMOVEGA TIPA ZA NEKATERE KROMATIČNE INVARIANTE
Authors:ID Iršič, Eva (Author)
ID Jakovac, Marko (Mentor) More about this mentor... New window
Files:.pdf UNI_Irsic_Eva_2012.pdf (518,78 KB)
MD5: AE239EED086BECE33F553E1DA40152DF
PID: 20.500.12556/dkum/7e30d06a-5855-4165-8600-4358d1c93835
 
Language:Slovenian
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Diplomska naloga obravnava izreke Nordhaus-Gaddumovega tipa za nekatere kromatične invariante. Na začetku predstavimo osnovne pojme teorije grafov, ki so potrebni za razumeva- nje nadaljne snovi. V nalogo so vključene nekatere kromatične invariante, kot so kromatično število, seznamsko kromatično število ter akromatično in psevdoakromatično število. Konec pa vključuje število mavrične povezanosti. Za vsoto in produkt kromatičnega števila grafa in njegovega komplementa določimo spodnjo in zgornjo mejo, prav tako določimo zgornjo mejo za vsoto seznamskega kromatičnega števila grafa in njegovega komplementa. Preverimo neenakosti, ki veljajo za akromatično in psevdoakromatično število in nazadnje določimo spodnjo in zgornjo mejo za vsoto števil mavrične povezanosti grafa in njegovega komplementa.
Keywords:kromatično število, akromatično število, psevdoakromatično število, seznamsko kromatično število, število mavrične povezanosti
Place of publishing:Maribor
Publisher:[E. Iršič]
Year of publishing:2012
PID:20.500.12556/DKUM-36848 New window
UDC:51(043.2)
COBISS.SI-ID:19292680 New window
NUK URN:URN:SI:UM:DK:19SLAWUF
Publication date in DKUM:02.08.2012
Views:2087
Downloads:140
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:NORDHAUS-GADDUM TYPE THEOREMS FOR SOME CHROMATIC INVARIANTS
Abstract:This thesis focuses on the Nordhaus-Gaddum-type theorems for some chromatic invariants. We start by presenting the basic concepts of graph theory needed to understand the thesis. The task includes some chromatic invariants, such as the chromatic number, the list-chromatic number, the achromatic and the pseudoachromatic number. Furthermore, we study rainbow connection number. For sum and product of the chromatic number of a graph and its complement we introduce a lower and an upper bound. Likewise we introduce an upper bound for the sum of the list-chromatic number of a graph and its complement. We examine inequalities for the achromatic and the pseudoachromatic number and in the end introduce a lower and an upper bound for the sum of the rainbow connection number for a graph and its complement.
Keywords:chromatic number, achromatic number, pseudoachromatic number, list-chromatic number, rainbow connection number


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