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Title:Transitive regular q-analogs of graphs
Authors:ID Crnković, Dean (Author)
ID Mikulić Crnković, Vedrana (Author)
ID Švob, Andrea (Author)
ID Zubović Žutolija, Matea (Author)
Files:.pdf RAZ_Crnkovic,Mikulic_Crnkovic,Svob,Zubovic_Zutolija_2025.pdf (382,29 KB)
MD5: 9B54C3B25D7FB0ED22AF92277BC778B2
 
Language:English
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:ZUP - University of Primorska Press
Abstract:In 1976, Delsarte introduced the notion of q-analogs of designs, and q-analogs of graphs were introduced recently by M. Braun et al. In this paper, we extend that study by giving a method for constructing transitive regular q-analogs of graphs. Further, we illustrate the method by giving some examples. Additionally, we introduced the notion of q-analogs of quasi-strongly regular graphs and give examples of transitive q-analogs of quasi-strongly regular graphs coming from spreads.
Keywords:q-ary design, q-ary graph, regular graph, transitive group
Publication status:Published
Publication version:Version of Record
Publication date:21.02.2025
Publisher:Založba Univerze na Primorskem
Year of publishing:2025
Number of pages:7 str.
Numbering:Vol. 8, no. 1, [article no.] P1.05
PID:20.500.12556/RUP-22061 This link opens in a new window
UDC:519.17
eISSN:2590-9770
DOI:10.26493/2590-9770.1750.d51 This link opens in a new window
Publication date in RUP:03.11.2025
Views:233
Downloads:1
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Record is a part of a journal

Title:The Art of Discrete and Applied Mathematics
Publisher:Založba Univerze na Primorskem
ISSN:2590-9770

Document is financed by a project

Funder:HRZZ - Croatian Science Foundation
Funding programme:Research Projects
Project number:IP-2022-10-4571
Name:Designs, graphs and codes

Funder:HRZZ - Croatian Science Foundation
Project number:UIP-2020-02-5713
Name:Galois geometry and coherent configurations

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:Tranzitivni regularniq-analogi grafov
Keywords:q-arni dizajn, q-arni graf, regularni graf, tranzitivna grupa


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