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Title:Hamiltonskost kartezičnega in direktnega grafovskega svežnja
Authors:ID Hrastnik Ladinek, Irena (Author)
ID Žerovnik, Janez (Mentor) More about this mentor... New window
Files:.pdf DR_Hrastnik_Ladinek_Irena_2012.pdf (19,55 MB)
MD5: BC42640B3FD81863B8A13F9B9C13E53C
PID: 20.500.12556/dkum/639268bb-7e53-4dd5-9246-860574fb1d2f
 
Language:Slovenian
Work type:Dissertation
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Ciklična svežnjevska Hamiltonskost cbH(G) grafa G je najmanjši n, za katerega obstaja tak avtomorfizem grafa G, da je kartezični grafovski sveženj, katerega baza je cikel na n točkah in vlakno graf G, Hamiltonov graf. Podamo oceno za cbH(G) in to oceno dokažemo. Podamo potrebne in zadostne pogoje za povezanost direktnih grafovskih svežnjev katerih vlakna so cikli. Pokažemo tudi, da so vsi povezani direktni grafovski svežnji ciklov nad cikli Hamiltonovi grafi.
Keywords:kartezični produkt, direktni produkt, kartezični grafovski sveženj, direktni grafovski sveženj, povezanost, Hamiltonov graf, Hamiltonova dekompozicija.
Place of publishing:[Maribor
Publisher:I. Hrastnik Ladinek]
Year of publishing:2012
PID:20.500.12556/DKUM-21945 New window
UDC:519.17(043.3)
COBISS.SI-ID:18896904 New window
NUK URN:URN:SI:UM:DK:L3U23BPA
Publication date in DKUM:01.03.2012
Views:3756
Downloads:175
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:Hamiltonicity of cartesian and direct graph bundle
Abstract:Cyclic bundle Hamiltonicity cbH(G) is the minimal n for which there is an automorphism of G such that the Cartesian graph bundle with cycle as base and G as fiber is Hamiltonian. We prove the value of cbH(G). A necessary and sufficient condition for connectedness of direct graph bundles where the fibers are cycles is given. It is also proved that all connected direct graph bundles cycles over cycles are Hamiltonian.
Keywords:Cartesian product, direct product, Cartesian graph bundle, direct graph bundle, connectedness, Hamiltonian graph, Hamiltonian decomposition


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