AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
PDF (503 KB)
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Spectrum of prism graph and relation with network related quantities

Ali Raza1Mobeen Munir1Tasawar Abbas2( )Sayed M Eldin3Ilyas Khan4( )
Department of Mathematics, University of Punjab, Quaid-e-Azam Campus, Lahore 54590, Pakistan
Department of Mathematics, University of Wah, Wah Cantt 47040, Pakistan
Center of Research, Faculty of Engineering, Future University in Egypt New Cairo 11835, Egypt
Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia
Show Author Information

Abstract

Spectra of network related graphs have numerous applications in computer sciences, electrical networks and complex networks to explore structural characterization like stability and strength of these different real-world networks. In present article, our consideration is to compute spectrum based results of generalized prism graph which is well-known planar and polyhedral graph family belongs to the generalized Petersen graphs. Then obtained results are applied to compute some network related quantities like global mean-first passage time, average path length, number of spanning trees, graph energies and spectral radius.

CLC number: 05C10, 05C82, 68R10

References

【1】
【1】
 
 
AIMS Mathematics
Pages 2634-2647

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Close
Close
Cite this article:
Raza A, Munir M, Abbas T, et al. Spectrum of prism graph and relation with network related quantities. AIMS Mathematics, 2023, 8(2): 2634-2647. https://doi.org/10.3934/math.2023137

10

Views

0

Downloads

8

Crossref

7

Web of Science

9

Scopus

Received: 16 August 2022
Revised: 20 October 2022
Accepted: 24 October 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)