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139913

Associated graphs and chain maps

Article

Last updated: 23 Jan 2023

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Abstract

In this paper, we defined the associated graph constructed to a
cellular folding defined on regular CW-complexes. These
graphs declare the effect of a cellular folding on the complex.
Besides we studied the properties of this graph and we proved
that it is connected and vertex transitive if the cellular folding is
neat.
Finally, by using chain maps and homology groups we
obtained the necessary and sufficient conditions for a cellular
map to be cellular folding and neat cellular folding respectively.

DOI

10.21608/djs.2016.139913

Keywords

Cellular folding, chain map, regular CW-complexes, vertex transitive, neat folding

Authors

First Name

E.

Last Name

EL-Kholy

MiddleName

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Affiliation

Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

Email

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Orcid

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First Name

N.

Last Name

El-Sharkawey

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

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Volume

37

Article Issue

1

Related Issue

20702

Issue Date

2016-06-01

Receive Date

2021-01-15

Publish Date

2016-06-01

Page Start

7

Page End

20

Print ISSN

1012-5965

Online ISSN

2735-5306

Article File

DJS_Volume 37_Issue 1_Pages 7-20.pdf

PDF . 1.2MB

Link

https://djs.journals.ekb.eg/article_139913.html

Detail API

https://djs.journals.ekb.eg/service?article_code=139913

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2

Type

Research and Reference

Type Code

1,686

Publication Type

Journal

Publication Title

Delta Journal of Science

Publication Link

https://djs.journals.ekb.eg/

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Article

Created At

23 Jan 2023