NORMAL 6-VALENT CLAYEY GRAPHS OF ABELIAN GROUPS

We call a Clayey graph Γ = Cay(G, S) normal for G, if the right regular representation R(G) of G is normal in the full automorphism group of Aunt(Γ). in this paper, we give a classification of all non-normal Clayey graphs of finite abelian group with valency 6.

Bibliographic Details
Main Author: Mehdi Alaeiyan
Format: Article
Language:English
Published: Iran University of Science & Technology 2008-03-01
Series:International Journal of Industrial Engineering and Production Research
Subjects:
Online Access:http://ijiepr.iust.ac.ir/browse.php?a_code=A-10-1-106&slc_lang=en&sid=1
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spelling doaj-07b283e3f4084f9b9db576a4aec8b1512020-11-25T01:10:09ZengIran University of Science & TechnologyInternational Journal of Industrial Engineering and Production Research2008-48892345-363X2008-03-01191111NORMAL 6-VALENT CLAYEY GRAPHS OF ABELIAN GROUPSMehdi Alaeiyan0 We call a Clayey graph Γ = Cay(G, S) normal for G, if the right regular representation R(G) of G is normal in the full automorphism group of Aunt(Γ). in this paper, we give a classification of all non-normal Clayey graphs of finite abelian group with valency 6.http://ijiepr.iust.ac.ir/browse.php?a_code=A-10-1-106&slc_lang=en&sid=1Clayey graph normal Clayey graph automorphism group
collection DOAJ
language English
format Article
sources DOAJ
author Mehdi Alaeiyan
spellingShingle Mehdi Alaeiyan
NORMAL 6-VALENT CLAYEY GRAPHS OF ABELIAN GROUPS
International Journal of Industrial Engineering and Production Research
Clayey graph
normal Clayey graph
automorphism group
author_facet Mehdi Alaeiyan
author_sort Mehdi Alaeiyan
title NORMAL 6-VALENT CLAYEY GRAPHS OF ABELIAN GROUPS
title_short NORMAL 6-VALENT CLAYEY GRAPHS OF ABELIAN GROUPS
title_full NORMAL 6-VALENT CLAYEY GRAPHS OF ABELIAN GROUPS
title_fullStr NORMAL 6-VALENT CLAYEY GRAPHS OF ABELIAN GROUPS
title_full_unstemmed NORMAL 6-VALENT CLAYEY GRAPHS OF ABELIAN GROUPS
title_sort normal 6-valent clayey graphs of abelian groups
publisher Iran University of Science & Technology
series International Journal of Industrial Engineering and Production Research
issn 2008-4889
2345-363X
publishDate 2008-03-01
description We call a Clayey graph Γ = Cay(G, S) normal for G, if the right regular representation R(G) of G is normal in the full automorphism group of Aunt(Γ). in this paper, we give a classification of all non-normal Clayey graphs of finite abelian group with valency 6.
topic Clayey graph
normal Clayey graph
automorphism group
url http://ijiepr.iust.ac.ir/browse.php?a_code=A-10-1-106&slc_lang=en&sid=1
work_keys_str_mv AT mehdialaeiyan normal6valentclayeygraphsofabeliangroups
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