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Title:Strukturne lastnosti snarkov
Authors:ID Forštnarič, Jasna (Author)
ID Jakovac, Marko (Mentor) More about this mentor... New window
Files:.pdf UN_Forstnaric_Jasna_2016.pdf (470,70 KB)
MD5: E50B00309349DD4DC2B7D6C40C36A3A0
 
Language:Slovenian
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V diplomskem delu bomo obravnavali strukturne lastnosti snarkov, kubičnih, po povezavah $2$-povezanih grafov s kromatičnim indeksom $chi'left(Gright) = Deltaleft(Gright) + 1$. Spoznali bomo pogoje pod katerimi snarki postanejo kritični ali bikritični. Dokazali bomo nekaj pomembnih izrekov. Videli bomo, da imajo pomembno vlogo pri proučevanju snarkov tudi bistvene povezave, ki jih ne moremo oziroma ne smemo odstraniti iz snarka, saj bi pri tem izgubili obliko grafa, s tem pa tudi vse lastnosti, ki veljajo za snarke.
Keywords:snark, kritični snark, bikritični snark, strogo kritični snark, hipohamiltonov snark
Place of publishing:Maribor
Publisher:[J. Forštnarič]
Year of publishing:2016
PID:20.500.12556/DKUM-62240 New window
UDC:519.17(043.2)
COBISS.SI-ID:22578440 New window
NUK URN:URN:SI:UM:DK:ZRC77TBN
Publication date in DKUM:26.09.2016
Views:1274
Downloads:112
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:Structural properties of snarks
Abstract:In this graduation we will be dealing with structural properties of snarks, cubic, 2-edge-connected graphs with the chromatic index $chi'left(Gright) = Deltaleft(Gright) + 1$. We will introduce conditions under which snarks become critical or bicritical. We will prove some of the important theorems. By studying the snarks the important role have also the essential edges that must not be removed from the snark since otherwise we would lose the shape of the graph and therefore all the properties of snarks.
Keywords:snark, critical snark, bicritical snark, strictly critical snark, hypo-Hamiltonian snark


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