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...
| Authors: | , , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2025 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10459.1/468420 |
| Online Access: | https://doi.org/10.61091/um123-02 https://hdl.handle.net/10459.1/468420 |
| Access Level: | Open access |
| Keyword: | Resolving set Metric dimension Token graphs Supertoken graphs Radius Diameter |
| Summary: | 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. |
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