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69193

Finding the (k,l)-core of a tree network with unreliable edges

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Last updated: 25 Dec 2024

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Abstract

Given a reliable tree network  containing  vertices where each edge has an independent operational probability, this paper presents finding a reliable subtree with at most leaves and with a diameter of at most  which maximizes the expected number of nodes that are reachable from the selected subtree by operational paths. An efficient algorithm is presented for finding a reliable tree core of. Numerical example is explained to clarify the efficient algorithm.                                                                             

DOI

10.21608/mjeer.2020.69193

Authors

First Name

Abdallah W.

Last Name

Aboutahoun

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Affiliation

Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt.

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First Name

Eman

Last Name

Fares

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Affiliation

Department of Basic Sciences, Faculty of Engineering, Pharos University, Alexandria, Egypt.

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Volume

29

Article Issue

1

Related Issue

9963

Issue Date

2020-01-01

Receive Date

2020-01-26

Publish Date

2020-01-01

Page Start

98

Page End

104

Print ISSN

1687-1189

Online ISSN

2682-3535

Link

https://mjeer.journals.ekb.eg/article_69193.html

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https://mjeer.journals.ekb.eg/service?article_code=69193

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14

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

Finding the (k,l)-core of a tree network with unreliable edges

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Article

Created At

22 Jan 2023