| Title: | Vertex-primitive digraphs with large fixity |
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| Authors: | ID Barbieri, Marco (Author)
ID Potočnik, Primož (Author) |
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| Files: |  PDF - Presentation file, download (397,05 KB)
MD5: E10A0D1F286AAED1005B728F269FB473
 URL - Source URL, visit https://link.springer.com/article/10.1007/s10231-024-01447-x
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | The relative fixity of a digraph $\Gamma$ is defined as the ratio between the largest number of vertices fixed by a nontrivial automorphism of $\Gamma$ and the number of vertices of $\Gamma$ .We characterize the vertex-primitive digraphs whose relative fixity is at least $1 \over 3$, and we show that there are only finitely many vertex-primitive digraphs of bounded out-valency and relative fixity exceeding a positive constant. |
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| Keywords: | vertex-primitive digraphs, fixity, product action, graphs |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.10.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 2383-2403 |
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| Numbering: | Vol. 203, iss. 5 |
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| PID: | 20.500.12556/DiRROS-20510  |
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| UDC: | 519.17 |
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| ISSN on article: | 0373-3114 |
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| DOI: | 10.1007/s10231-024-01447-x |
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| COBISS.SI-ID: | 195629059 |
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| Note: |
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| Publication date in DiRROS: | 03.10.2024 |
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| Views: | 690 |
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| Downloads: | 443 |
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| Metadata: |    |
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