On some metric properties of supertoken graphs
In this paper, we construct two infinite families of graphs G(d, c) and G+(d, c), where, in both cases, a vertex label is x1x2 . . . xc with xi ∈ {1, 2, . . . , d}. We provide a tight lower bound on the metric dimension of G+(d, c). Moreover, we give the definition and properties of the supertoken g...
| 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:10459.1/468420 |
| Acceso en línea: | https://doi.org/10.61091/um123-02 https://hdl.handle.net/10459.1/468420 |
| Access Level: | acceso abierto |
| Palabra clave: | Resolving set Metric dimension Token graphs Supertoken graphs Radius Diameter |
| Sumario: | In this paper, we construct two infinite families of graphs G(d, c) and G+(d, c), where, in both cases, a vertex label is x1x2 . . . xc with xi ∈ {1, 2, . . . , d}. We provide a tight lower bound on the metric dimension of G+(d, c). Moreover, we give the definition and properties of the supertoken graphs, a generalization of the well-known token graphs. Finally, we provide an upper bound on the metric dimension of supertoken graphs. |
|---|