On tetravalent normal edge-transitive Cayley graphs on the modular group

HESAM SHARIFI; MOHAMMAD REZA DARAFSHEH

Article Details

On tetravalent normal edge-transitive Cayley graphs on the modular group

Authors:

HESAM SHARIFI | MOHAMMAD REZA DARAFSHEH

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2017 Vol.41 Issue 5, pp.1308-1312

Document Type:

Article

Publication Date:

9/2017

Document Language:

Turkish

Document ID (Org No.):

2000746004

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Abstract:

 

A Cayley graph Γ=Cay(G,S)Γ=Cay(G,S)\Gamma=Cay(G, S) on a group GGG with respective toa subset S⊆GS⊆GS\subseteq G, S=S−1,1/ınSS=S−1,1⧸ınSS=S^{-1}, 1\notın S, is said to be normaledge-transitive if NAut(Γ)(ρ(G))NAut(Γ)(ρ(G))N_{\mathbb{A}ut(\Gamma)}(\rho(G)) is transitiveon edges of ΓΓ\Gamma, where ρ(G)ρ(G)\rho(G) is a subgroup of Aut(Γ)Aut(Γ)\mathbb{A}ut(\Gamma)isomorphic to GGG. We determine all connected tetravalent normaledge-transitive Cayley graphs on the modular group of order 8n8n8nin the case that every element of SSS is of order 4n4n4n.

Article Details

On tetravalent normal edge-transitive Cayley graphs on the modular group

Authors: HESAM SHARIFI | MOHAMMAD REZA DARAFSHEH

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2017 Vol.41 Issue 5, pp.1308-1312

Document Type: Article

Publication Date: 9/2017

Document Language: Turkish

Document ID (Org No.): 2000746004

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Issues

Authors:

HESAM SHARIFI | MOHAMMAD REZA DARAFSHEH

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2017 Vol.41 Issue 5, pp.1308-1312

Document Type:

Article

Publication Date:

9/2017

Document Language:

Turkish

Document ID (Org No.):

2000746004

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098