Cayley Graphs over LA-Groups and LA-Polygroups

Cayley Graphs over LA-Groups and LA-Polygroups

The purpose of this paper is the study of simple graphs that are generalized Cayley graphs over LA-polygroups GCLAP−graphs. In this regard, we construct two new extensions for building LA-polygroups. Then, we define Cayley graph over LA-group and GCLAP-graph. Further, we investigate a few properties...

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Main Authors: Nabilah Abughazalah, Naveed Yaqoob, Asif Bashir
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/4226232
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spelling doaj-5a86fbea45304b40a5babf72033a2e802021-05-31T00:34:03ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/4226232Cayley Graphs over LA-Groups and LA-PolygroupsNabilah Abughazalah0Naveed Yaqoob1Asif Bashir2Mathematical Sciences DepartmentDepartment of Mathematics and StatisticsDepartment of Mathematics and StatisticsThe purpose of this paper is the study of simple graphs that are generalized Cayley graphs over LA-polygroups GCLAP−graphs. In this regard, we construct two new extensions for building LA-polygroups. Then, we define Cayley graph over LA-group and GCLAP-graph. Further, we investigate a few properties of them to show that each simple graph of order three, four, and five (except cycle graph of order five which may or may not be a GCLAP-graph) is a GCLAP-graph and then we prove this result.http://dx.doi.org/10.1155/2021/4226232
collection DOAJ
language English
format Article
sources DOAJ
author Nabilah Abughazalah
Naveed Yaqoob
Asif Bashir
spellingShingle Nabilah Abughazalah
Naveed Yaqoob
Asif Bashir
Cayley Graphs over LA-Groups and LA-Polygroups
Mathematical Problems in Engineering
author_facet Nabilah Abughazalah
Naveed Yaqoob
Asif Bashir
author_sort Nabilah Abughazalah
title Cayley Graphs over LA-Groups and LA-Polygroups
title_short Cayley Graphs over LA-Groups and LA-Polygroups
title_full Cayley Graphs over LA-Groups and LA-Polygroups
title_fullStr Cayley Graphs over LA-Groups and LA-Polygroups
title_full_unstemmed Cayley Graphs over LA-Groups and LA-Polygroups
title_sort cayley graphs over la-groups and la-polygroups
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description The purpose of this paper is the study of simple graphs that are generalized Cayley graphs over LA-polygroups GCLAP−graphs. In this regard, we construct two new extensions for building LA-polygroups. Then, we define Cayley graph over LA-group and GCLAP-graph. Further, we investigate a few properties of them to show that each simple graph of order three, four, and five (except cycle graph of order five which may or may not be a GCLAP-graph) is a GCLAP-graph and then we prove this result.
url http://dx.doi.org/10.1155/2021/4226232
work_keys_str_mv AT nabilahabughazalah cayleygraphsoverlagroupsandlapolygroups
AT naveedyaqoob cayleygraphsoverlagroupsandlapolygroups
AT asifbashir cayleygraphsoverlagroupsandlapolygroups
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