A general method to find the spectrum and eigenspaces of the k-token graph of a cycle, and 2-token through continuous fractions
The k-token graph () of a graph G is the graph whose vertices are the K-subsets of vertices from G, two of which being adjacent whenever their symmetric difference is a pair of adjacent vertices in G. In this paper, we propose a general method to find the spectrum and eigenspaces of the k-token grap...
| Autores: | , , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10459.1/466694 |
| Acceso en línea: | https://doi.org/10.1016/j.dam.2024.09.031 https://hdl.handle.net/10459.1/466694 |
| Access Level: | acceso abierto |
| Palabra clave: | Token graph Laplacian spectrum Lift graph Over-lift graph Continous fraction |
| Sumario: | The k-token graph () of a graph G is the graph whose vertices are the K-subsets of vertices from G, two of which being adjacent whenever their symmetric difference is a pair of adjacent vertices in G. In this paper, we propose a general method to find the spectrum and eigenspaces of the k-token graph ()of a cycle Cn. The method is based on the theory of lift graphs and the recently introduced theory of over-lifts. In the case of k=2, we use continuous fractions to derive the spectrum and eigenspaces of the 2-token graph of Cn. |
|---|