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Title:Characterization of edge-transitive 4-valent bicirculants
Authors:Kovács, István (Author)
Kuzman, Boštjan (Author)
Malnič, Aleksander (Author)
Wilson, Stephen (Author)
Files:URL http://dx.doi.org/10.1002/jgt.20594
 
Language:English
Work type:Not categorized
Tipology:1.01 - Original Scientific Article
Organization:IAM - Andrej Marušič Institute
Abstract:Bicirkulant je graf, ki dopušča avtomorfizem z natanko dvema orbitama vozlišč enake velikosti. V članku so karakterizirani vsi neizomorfni 4-valentni povezavno tranzitivni bicirkulanti. Posledično je izpeljana karakterizacija 4-valentnih ločno tranzitivnih dihedrantov.
Keywords:matematika, teorija grafov, štirivalenten graf, bicirkulantni graf, Cayleyev graf, povezavno tranzitiven graf, ločno tranzitiven graf, dihedrant, rose window graf, grupa avtomorfizmov
Year of publishing:2012
Number of pages:str. 441-463
Numbering:Vol. 69, no. 4
ISSN:0364-9024
UDC:519.17
COBISS_ID:1024316244 Link is opened in a new window
Views:2037
Downloads:71
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Secondary language

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Abstract:A bicirculant is a graph admitting an automorphism with exactly two vertex-orbits of equal size. All non-isomorphic 4-valent edge-transitive bicirculants are characterized in this article. As a corollary, a characterization of 4-valent arc-transitive dihedrants is obtained.
Keywords:mathematics, graph theory, tetravalent graph, bicirculant graph, Cayley graph, dihedrant, rose window graph, edge-transitive graph, automorphism group

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