On some metric properties of supertoken graphs
In this paper, we construct two infinite families of graphs and , where, in both cases, a vertex label is with . We provide a tight lower bound on the metric dimension of . Moreover, we give the definition and properties of the supertoken graphs, a generalization of the well-known token graphs. Fina...
| Authors: | , , , |
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| Format: | article |
| Publication Date: | 2025 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/446047 |
| Online Access: | https://hdl.handle.net/2117/446047 https://dx.doi.org/10.61091/um123-02 |
| Access Level: | Open access |
| Keyword: | Resolving set Metric dimension Token graphs Supertoken graphs Radius Diameter Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs |
| Summary: | In this paper, we construct two infinite families of graphs and , where, in both cases, a vertex label is with . We provide a tight lower bound on the metric dimension of . 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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