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64856

Generalization of the Symmetric Starter of the Orthogonal Double Covers of the Complete Bipartite Graph

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Last updated: 25 Dec 2024

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Abstract

An Orthogonal Double Cover of the complete graph is a set of graphs such that every two of them share exactly one edge and every edge of the complete graph belongs to exactly two of the graphs. In this paper we have constructed the ODC of the complete bipartite graph (), for any values of , and all graphs in the collection are isomorphic to the spanning sub-graph

DOI

10.21608/mjeer.2006.64856

Keywords

Orthogonal double cover, ODC, Graph decompositions, Symmetric starter

Authors

First Name

S. A.

Last Name

El-Serafi

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Affiliation

Department of Physics and Engineering Mathematics, Faculty Of Electronic Engineering, Minoufiya University, Minuf, Egypt

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First Name

R. A.

Last Name

El-Shanawany

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-

Affiliation

Department of Physics and Engineering Mathematics, Faculty Of Electronic Engineering, Minoufiya University, Minuf, Egypt

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Orcid

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First Name

M. Sh.

Last Name

Higazy

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-

Affiliation

Department of Physics and Engineering Mathematics, Faculty Of Electronic Engineering, Minoufiya University, Minuf, Egypt.

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Volume

16

Article Issue

2

Related Issue

9701

Issue Date

2006-07-01

Receive Date

2019-12-12

Publish Date

2006-07-01

Page Start

171

Page End

177

Print ISSN

1687-1189

Online ISSN

2682-3535

Link

https://mjeer.journals.ekb.eg/article_64856.html

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https://mjeer.journals.ekb.eg/service?article_code=64856

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3

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

Generalization of the Symmetric Starter of the Orthogonal Double Covers of the Complete Bipartite Graph

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Article

Created At

22 Jan 2023