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Title:Recent trends and future directions in vertex-transitive graphs
Authors:ID Kutnar, Klavdija (Author)
ID Marušič, Dragan (Author)
Files:.pdf RAZ_Kutnar_Klavdija_i2008.pdf (183,49 KB)
MD5: D6FC37B7247C0F64CF7EE768CF0036CF
 
Language:English
Work type:Unknown
Typology:1.01 - Original Scientific Article
Organization:ZUP - University of Primorska Press
Abstract:A graph is said to be vertex-transitive if its automorphism group acts transitively on the vertex set. Some recent developments and possible future directions regarding two famous open problems, asking about existence of Hamilton paths and existence of semiregular automorphisms in vertex-transitive graphs, are discussed, together with some recent results on arc-transitive graphs and half-arc-transitive graphs, two special classes of vertex-transitive graphs that have received particular attention over the last decade.
Keywords:vertex-transitive graph, arc-transitive graph, half-arc-transitive graph, Hamilton cycle, Hamilton path, semiregular group, (im)primitive group
Year of publishing:2008
Number of pages:str. 112-125
Numbering:Vol. 1, no. 2
PID:20.500.12556/RUP-2938 This link opens in a new window
UDC:519.17
ISSN on article:1855-3966
COBISS.SI-ID:2112229 This link opens in a new window
Publication date in RUP:15.10.2013
Views:4133
Downloads:136
Metadata:XML DC-XML DC-RDF
:
KUTNAR, Klavdija and MARUŠIČ, Dragan, 2008, Recent trends and future directions in vertex-transitive graphs. Ars mathematica contemporanea [online]. 2008. Vol. 1, no. 2, p. 112–125. [Accessed 3 April 2025]. Retrieved from: https://repozitorij.upr.si/IzpisGradiva.php?lang=eng&id=2938
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Record is a part of a journal

Title:Ars mathematica contemporanea
Publisher:Društvo matematikov, fizikov in astronomov, Društvo matematikov, fizikov in astronomov, Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije
ISSN:1855-3966
COBISS.SI-ID:239049984 This link opens in a new window

Secondary language

Language:English
Keywords:matematika, teorija grafov, tranzitivni grafi, poltranzitivni grafi, Hamiltonov cikel, delovanje grupe, polregularna grupa


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