Normal edge-transitive Cayley graphs on certain groups of orders 4n and 8
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DARAFSHEH, Mohammad, ABDOLLAHI, Majid. Normal edge-transitive Cayley graphs on certain groups of orders 4n and 8. In: Quasigroups and Related Systems, 2016, vol. 24, nr. 1(35), pp. 17-23. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 24, Numărul 1(35) / 2016 / ISSN 1561-2848

Normal edge-transitive Cayley graphs on certain groups of orders 4n and 8
CZU: 512.5+519.7

Pag. 17-23

Darafsheh Mohammad, Abdollahi Majid
 
University of Tehran
 
 
Disponibil în IBN: 3 august 2016


Rezumat

Normal edge-transitive Cayley graph Cay(G; S) where G is the generalized quaternion group Q4n of order 4n or a certain group V8n of order 8n is investigated. It is shown that up to isomorphism there is only one tetravalent normal edge-transitive Cayley graph whenG _= Q4n is the generalized quaternion group and its automorphism group is found. In the case of V8n we show that there is no normal edge-transitive Cayley graph on V8n.