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 |
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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 |