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FAMNIT - Faculty of Mathematics, Science and Information Technologies
FHŠ - Faculty of Humanities
FM - Faculty of Management
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IAM - Andrej Marušič Institute
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Title:
Quasi m-Cayley circulants
Authors:
ID
Hujdurović, Ademir
(Author)
Files:
RAZ_Hujdurovic_Ademir_i2013.pdf
(250,35 KB)
MD5: 224CDAF25EE526AB2C9A80D27A51F0EB
Language:
English
Work type:
Unknown
Typology:
1.08 - Published Scientific Conference Contribution
Organization:
ZUP - University of Primorska Press
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
Numbering:
Vol. 6, no. 1
PID:
20.500.12556/RUP-3153
UDC:
519.17
ISSN on article:
1855-3966
COBISS.SI-ID:
1024427348
Publication date in RUP:
15.10.2013
Views:
3653
Downloads:
118
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Record is a part of a proceedings
Title:
Ars mathematica contemporanea
COBISS.SI-ID:
16465753
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
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