On the Finite Groups that all Their Semi-Cayley Graphs are Quasi-Abelian

In this paper, we prove that every semi-Cayley graph over a group G is quasi-abelian if and only if G is abelian.

Bibliographic Details
Main Author: Majid Arezoomand
Format: Article
Language:English
Published: University of Kashan 2018-12-01
Series:Mathematics Interdisciplinary Research
Subjects:
Online Access:https://mir.kashanu.ac.ir/article_87320_869503634049640f029261cb68914de1.pdf
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author Majid Arezoomand
author_facet Majid Arezoomand
author_sort Majid Arezoomand
collection DOAJ
description In this paper, we prove that every semi-Cayley graph over a group G is quasi-abelian if and only if G is abelian.
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spelling doaj.art-5257ac5559a94a48b8f27ea63a009c8d2023-11-11T08:10:21ZengUniversity of KashanMathematics Interdisciplinary Research2476-49652018-12-013213113410.22052/mir.2019.127665.110187320On the Finite Groups that all Their Semi-Cayley Graphs are Quasi-AbelianMajid Arezoomand0University of Larestan, Larestan, I. R. IranIn this paper, we prove that every semi-Cayley graph over a group G is quasi-abelian if and only if G is abelian.https://mir.kashanu.ac.ir/article_87320_869503634049640f029261cb68914de1.pdfsemi-cayley graphquasi-abeliansemi-regular
spellingShingle Majid Arezoomand
On the Finite Groups that all Their Semi-Cayley Graphs are Quasi-Abelian
Mathematics Interdisciplinary Research
semi-cayley graph
quasi-abelian
semi-regular
title On the Finite Groups that all Their Semi-Cayley Graphs are Quasi-Abelian
title_full On the Finite Groups that all Their Semi-Cayley Graphs are Quasi-Abelian
title_fullStr On the Finite Groups that all Their Semi-Cayley Graphs are Quasi-Abelian
title_full_unstemmed On the Finite Groups that all Their Semi-Cayley Graphs are Quasi-Abelian
title_short On the Finite Groups that all Their Semi-Cayley Graphs are Quasi-Abelian
title_sort on the finite groups that all their semi cayley graphs are quasi abelian
topic semi-cayley graph
quasi-abelian
semi-regular
url https://mir.kashanu.ac.ir/article_87320_869503634049640f029261cb68914de1.pdf
work_keys_str_mv AT majidarezoomand onthefinitegroupsthatalltheirsemicayleygraphsarequasiabelian