Algebraic degree of Cayley graphs over abelian groups and dihedral groups
Please always quote using this URN: urn:nbn:de:bvb:20-opus-324380
- For a graph \(\Gamma\) , let K be the smallest field containing all eigenvalues of the adjacency matrix of \(\Gamma\) . The algebraic degree \(\deg (\Gamma )\) is the extension degree \([K:\mathbb {Q}]\). In this paper, we completely determine the algebraic degrees of Cayley graphs over abelian groups and dihedral groups.
| Author: | Lu Lu, Katja MöniusORCiD |
|---|---|
| URN: | urn:nbn:de:bvb:20-opus-324380 |
| Document Type: | Journal article |
| Faculties: | Fakultät für Mathematik und Informatik / Institut für Mathematik |
| Language: | English |
| Parent Title (English): | Journal of Algebraic Combinatorics |
| ISSN: | 0925-9899 |
| Year of Completion: | 2023 |
| Volume: | 57 |
| Issue: | 3 |
| Pagenumber: | 753-761 |
| Source: | Journal of Algebraic Combinatorics (2023) 57:3, 753-761 DOI: 10.1007/s10801-022-01190-7 |
| DOI: | https://doi.org/10.1007/s10801-022-01190-7 |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Tag: | Cayley graph; algebraic degree; integral graph |
| MSC-Classification: | 05-XX COMBINATORICS (For finite fields, see 11Txx) / 05Cxx Graph theory (For applications of graphs, see 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15) / 05C50 Graphs and linear algebra (matrices, eigenvalues, etc.) |
| Release Date: | 2024/02/28 |
| Licence (German): |  CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |