Beta
ManageSearchChatDiscover
64678

On Orthogonal Double Covers of Complete Bipartite Graph by the Disjoint Union of Graphs

Article

Last updated: 25 Dec 2024

OverviewSimilar Items

Subjects

-

Tags

-

Abstract

The existence problem of the orthogonal double covers of the graphs is a well-known problem in the theory of combinatorial designs. In this paper, we construct the orthogonal double covers of the complete bipartite graph by the disjoint union of paths, copies of a caterpillar, copies of a certain path, and by other certain defined graph. We use the vector method as a helping tool for constructing our results, the advantage of this method is that it is accessible to discrete mathematicians not intimately familiar with the theory of the orthogonal double covers.

DOI

10.21608/mjeer.2018.64678

Authors

First Name

Saied A.

Last Name

El-Serafi

MiddleName

-

Affiliation

Dept. of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University.

Email

-

City

-

Orcid

-

First Name

Magdi

Last Name

M. Kamel

MiddleName

-

Affiliation

Dept. of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University.

Email

-

City

-

Orcid

-

First Name

Ramadan A.

Last Name

El-Shanawany

MiddleName

-

Affiliation

Dept. of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University.

Email

-

City

-

Orcid

-

First Name

Ahmed I.

Last Name

El-Mesad y

MiddleName

-

Affiliation

Dept. of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University.

Email

-

City

-

Orcid

-

Volume

27

Article Issue

1

Related Issue

9729

Issue Date

2018-01-01

Receive Date

2019-12-11

Publish Date

2018-01-01

Page Start

337

Page End

345

Print ISSN

1687-1189

Online ISSN

2682-3535

Link

https://mjeer.journals.ekb.eg/article_64678.html

Detail API

https://mjeer.journals.ekb.eg/service?article_code=64678

Order

17

Type

Original Article

Type Code

1,088

Publication Type

Journal

Publication Title

Menoufia Journal of Electronic Engineering Research

Publication Link

https://mjeer.journals.ekb.eg/

MainTitle

On Orthogonal Double Covers of Complete Bipartite Graph by the Disjoint Union of Graphs

Details

Type

Article

Created At

22 Jan 2023