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FAMNIT - Faculty of Mathematics, Science and Information Technologies
FHŠ - Faculty of Humanities
FM - Faculty of Management
FTŠ Turistica - Turistica – College of Tourism Portorož
FVZ - Faculty of Health Sciences
IAM - Andrej Marušič Institute
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ZUP - University of Primorska Press
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Title:
Geometric constructions of small regular graphs with girth 7
Authors:
ID
Kiss, György
(
Author
)
Files:
ADAM_Kiss_2025.pdf
(392,97 KB)
MD5: 250C2D92EF87F65492581AE41A8E23FD
Language:
English
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
ZUP - University of Primorska Press
Abstract:
We present simple, geometric constructions for small regular graphs of girth 7 from the incidence graphs of some generalized quadrangles. We obtain infinite families of (q − 1)-regular, q-regular and (q + 1)-regular graphs of girth 7, for q a prime power. Some of them have the smallest order known so far.
Keywords:
cage problem
,
incidence graph
,
generalized quadrangle
Publication status:
Published
Publication version:
Version of Record
Publication date:
22.05.2025
Publisher:
Založba Univerze na Primorskem
Year of publishing:
2025
Number of pages:
11 str.
Numbering:
Vol. 8, no. 3, [article no.] P3.04
PID:
20.500.12556/RUP-22077
UDC:
519.17
eISSN:
2590-9770
DOI:
10.26493/2590-9770.1732.6ac
Publication date in RUP:
03.11.2025
Views:
223
Downloads:
1
Metadata:
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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:
Hungarian National Research, Development and Innovation Office OTKA
Project number:
SNN 132625
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:
Geometrijske konstrukcije majhnih regularnihgrafov ožine 7
Keywords:
problem kletk
,
incidenčni graf
,
posplošeni štirikotnik
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