| Title: | A census of Cayley graphs |
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| Authors: | ID Evans, Rhys J. (Author)
ID Potočnik, Primož (Author) |
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| Files: |  PDF - Presentation file, download (1,38 MB)
MD5: B2CAD22E40A4F18F26B6B80A0A50B8DA
 URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0747717126000283
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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: | Given positive integers $k$ and $n$, we present methods to construct all groups of order at most $n$ that contain a Cayley set of size $k$, and to enumerate the Cayley sets of order $k$ in a given group, up to the action of the automorphism group. We use these methods to generate complete lists of pairwise nonisomorphic $3$-valent Cayley graphs with at most 5,000 vertices and $4$-valent Cayley graphs with at most 1,025 vertices. |
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| Keywords: | Cayley graphs, enumeration, cubic graphs, quartic graphs |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.11.2026 |
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| Year of publishing: | 2026 |
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| Number of pages: | 15 str. |
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| Numbering: | Vol. 137, article no. 102580 |
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| PID: | 20.500.12556/DiRROS-28797  |
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| UDC: | 512:519.17 |
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| ISSN on article: | 0747-7171 |
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| DOI: | 10.1016/j.jsc.2026.102580 |
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| COBISS.SI-ID: | 274459395 |
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| Note: |
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| Publication date in DiRROS: | 08.04.2026 |
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| Views: | 145 |
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| Downloads: | 99 |
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| Metadata: |    |
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