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Title:Vertex-primitive digraphs with large fixity
Authors:ID Barbieri, Marco (Author)
ID Potočnik, Primož (Author)
Files:.pdf PDF - Presentation file, download (397,05 KB)
MD5: E10A0D1F286AAED1005B728F269FB473
 
URL URL - Source URL, visit https://link.springer.com/article/10.1007/s10231-024-01447-x
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
Abstract:The relative fixity of a digraph Γ is defined as the ratio between the largest number of vertices fixed by a nontrivial automorphism of Γ and the number of vertices of Γ .We characterize the vertex-primitive digraphs whose relative fixity is at least 13, and we show that there are only finitely many vertex-primitive digraphs of bounded out-valency and relative fixity exceeding a positive constant.
Keywords:vertex-primitive digraphs, fixity, product action, graphs
Publication status:Published
Publication version:Version of Record
Publication date:01.10.2024
Year of publishing:2024
Number of pages:str. 2383-2403
Numbering:Vol. 203, iss. 5
PID:20.500.12556/DiRROS-20510 New window
UDC:519.17
ISSN on article:0373-3114
DOI:10.1007/s10231-024-01447-x New window
COBISS.SI-ID:195629059 New window
Note:
Publication date in DiRROS:03.10.2024
Views:351
Downloads:161
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BARBIERI, Marco and POTOČNIK, Primož, 2024, Vertex-primitive digraphs with large fixity. Annali di matematica pura ed applicata [online]. 2024. Vol. 203, no. 5, p. 2383–2403. [Accessed 21 April 2025]. DOI 10.1007/s10231-024-01447-x. Retrieved from: https://dirros.openscience.si/IzpisGradiva.php?lang=eng&id=20510
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Record is a part of a journal

Title:Annali di matematica pura ed applicata
Shortened title:Ann. mat. pura appl.
Publisher:Springer
ISSN:0373-3114
COBISS.SI-ID:24962816 New window

Document is financed by a project

Funder:Other - Other funder or multiple funders
Funding programme:GNSAGA INdAM group
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0216
Name:Simetrije, negibnost in prožnost grafov
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0294
Name:Računsko intenzivne metode v teoretičnem računalništvu, diskretni matematiki, kombinatorični optimizaciji ter numerični analizi in algebri z uporabo v naravoslovju in družboslovju

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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.

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