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Title:Notes on the diameter of the complement of the power graph of a finite group
Authors:ID Ma, Xuanlong (Author)
ID Doostabadi, Alireza (Author)
ID Wang, Kaishun (Author)
Files:.pdf AMC_Zhan,Lu,Huang_2025.pdf (316,31 KB)
MD5: 74DCDE41FF0BFF1E237592A24B6A108A
 
Language:English
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:ZUP - University of Primorska Press
Abstract:We determine the diameter of every connected component of the complement of the power graph and the enhanced power graph of a finite group, which completely answers two questions by Peter J. Cameron.
Keywords:diameter, power graph, enhanced power graph, finite group
Publication status:Published
Publication version:Version of Record
Publication date:14.02.2025
Publisher:Založba Univerze na Primorskem
Year of publishing:2025
Number of pages:10 str.
Numbering:Vol. 25, no. 1, [article no.] P1.07
PID:20.500.12556/RUP-21979 This link opens in a new window
UDC:51
eISSN:1855-3974
DOI:https://doi.org/10.26493/1855-3974.3026.16a This link opens in a new window
Publication date in RUP:21.10.2025
Views:297
Downloads:5
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Record is a part of a journal

Title:Ars mathematica contemporanea
Publisher:Založba Univerze na Primorskem
ISSN:1855-3974

Document is financed by a project

Funder:National Natural Science Foundation of China
Project number:12326333

Funder:National Natural Science Foundation of China
Project number:12071039

Funder:National Natural Science Foundation of China
Project number:12131011

Funder:Shaanxi Fundamental Science Research Project for Mathematics and Physics
Project number:22JSQ024

Funder:National Key R&D Program of China
Project number:2020YFA0712900

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

Language:Slovenian
Title:Premer komplementa potenčnega grafa končne grupe
Abstract:Določimo premer vsake povezane komponente komplementa potenčnega grafa in okrepljenega potencnega grafa končne grupe, s čimer v celoti odgovorimo na dve vprašanji Petra J. Camerona.
Keywords:premer, potenčni graf, okrepljen potenčni graf, končna grupa


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