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Title:On subgraphs of Cartesian product graphs
Authors:ID Klavžar, Sandi (Author)
ID Lipovec, Alenka (Author)
ID Petkovšek, Marko (Author)
Files:URL http://www.imfm.si/preprinti/PDF/00661.pdf
 
Language:English
Work type:Not categorized
Organization:PEF - Faculty of Education
Abstract:Karakterizirani so grafi, ki jih lahko predstavimo kot netrivialen podgraf kartezičnega produkta grafov. Kot posledica je pokazano, da ima vsak dvodelni graf z radijem 2, ki ne vsebuje ▫$K_{2,3}$▫, tako predstavitev. Neskončna družina bazičnih podgrafov je tudi konstruirana - dosedaj je bilo znanih le končno takih grafov.
Keywords:matematika, teorija grafov, kartezični produkt grafov, podgrafi, mathematics, graph theory, Cartesian product graphs, subgraphs
Year of publishing:1999
Number of pages:str. 1-9
Numbering:Vol. 37, št. 661
PID:20.500.12556/DKUM-49364 New window
ISSN:1318-4865
UDC:519.17
COBISS.SI-ID:8984665 New window
NUK URN:URN:SI:UM:DK:XZTTJTLB
Publication date in DKUM:10.07.2015
Views:1346
Downloads:95
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Secondary language

Language:Unknown
Title:O podgrafih kartezičnega produkta grafov
Abstract:Graphs which can be represented as nontrivial subgraphs of Cartesian product graphs are characterized. As a corollary it is shown that any bipartite, ▫$K_{2,3}$▫-free graphs of radius 2 has such a representation. An infinite family of graphs which have no such representation and contain no proper representable subgraph is also constructed. Only a finite number of such graphs have been previously known.


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