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Title:Quasi m-Cayley circulants
Authors:Hujdurović, Ademir (Author)
Files:URL http://amc.imfm.si/index.php/amc/article/view/256/196
 
Language:English
Work type:Not categorized
Tipology:1.08 - Published Scientific Conference Contribution
Organization:IAM - Andrej Marušič Institute
Abstract:A graph ▫$\Gamma$▫ is called a quasi ▫$m$▫-Cayley graph on a group ▫$G$▫ if there exists a vertex ▫$\infty \in V(\Gamma)$▫ and a subgroup ▫$G$▫ of the vertex stabilizer ▫$\text{Aut}(\Gamma)_\infty$▫ of the vertex ▫$\infty$▫ in the full automorphism group ▫$\text{Aut}(\Gamma)$▫ of ▫$\Gamma$▫, such that ▫$G$▫ acts semiregularly on ▫$V(\Gamma) \setminus \{\infty\}$▫ with ▫$m$▫ orbits. If the vertex ▫$\infty$▫ is adjacent to only one orbit of ▫$G$▫ on ▫$V(\Gamma) \setminus \{\infty\}$▫, then ▫$\Gamma$▫ is called a strongly quasi ▫$m$▫-Cayley graph on ▫$G$▫ .In this paper complete classifications of quasi 2-Cayley, quasi 3-Cayley and strongly quasi 4-Cayley connected circulants are given.
Keywords:arc-transitive, circulant, quasi m-Cayley graph
Year of publishing:2013
Number of pages:Str. 147-154
ISSN:1855-3966
UDC:519.17
COBISS_ID:1024427348 Link is opened in a new window
Views:1743
Downloads:61
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