Lupa

Show document Help

A- | A+ | Print
Title:Cyclic m-DCI-groups and m-CI-groups
Authors:ID Kovács, István (Author)
ID Šinkovec, Luka (Author)
Files:URL https://adam-journal.eu/index.php/ADAM/article/view/1740
 
.pdf RAZ_Kovacs_Istvan_2025.pdf (446,08 KB)
MD5: 3E1B8BC237570D76E29951B8DC411F14
 
Language:English
Work type:Unknown
Typology:1.01 - Original Scientific Article
Organization:FAMNIT - Faculty of Mathematics, Science and Information Technologies
IAM - Andrej Marušič Institute
Abstract:Based on the earlier work of Li from 1997 and Dobson from 2008, in this paper we complete the classification of cyclic m-DCI-groups and m-CI-groups. For a positive integer m such that m ≥ 3, we show that the group ℤ_(n) is an m-DCI-group if and only if n is not divisible by 8 nor by p² for any odd prime p < m. Furthermore, if m ≥ 6, then we show that ℤn is an m-CI-group if and only if either n ∈ {8, 9, 18}, or n ∉ {8, 9, 18} and n is not divisible by 8 nor by p² for any odd prime p < (m - 1)/2.
Keywords:Cayley graph, cyclic group, m-CI-group, m-DCI-group
Publication version:Version of Record
Publication date:28.03.2025
Year of publishing:2025
Number of pages:str. 1-12
Numbering:Vol. 8, no. 1
PID:20.500.12556/RUP-21153 This link opens in a new window
UDC:519.17
ISSN on article:2590-9770
DOI:10.26493/2590-9770.1740.b72 This link opens in a new window
COBISS.SI-ID:230978307 This link opens in a new window
Publication date in RUP:01.04.2025
Views:328
Downloads:10
Metadata:XML DC-XML DC-RDF
:
Copy citation
  
Average score:(0 votes)
Your score:Voting is allowed only for logged in users.
Share:Bookmark and Share


Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Record is a part of a journal

Title:The art of discrete and applied mathematics
Publisher:Fakulteta za matematiko, naravoslovje in informacijske tehnologije
ISSN:2590-9770
COBISS.SI-ID:290758912 This link opens in a new window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0140-2020
Name:Geometrije, grafi, grupe in povezave med njimi

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0208-2021
Name:Avtomorfizmi in izomorfizmi končnih grafov

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-50000-2023
Name:Hamiltonski cikli z rotacijsko simetrijo v povezanih točkovno tranzitivnih grafih

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-2451-2020
Name:Simetrija na grafih preko rigidnih celic

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-3001-2021
Name:Terwilligerjeva algebra grafa

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
Keywords:Cayleyjev graf, ciklična grupa, m-CI-grupa, m-DCI-grupa


Comments

Leave comment

You must log in to leave a comment.

Comments (0)
0 - 0 / 0
 
There are no comments!

Back
Logos of partners University of Maribor University of Ljubljana University of Primorska University of Nova Gorica