Metric dimension of growing infinite graphs

Autor: Biró, Csaba, Novick, Beth, Olejnikova, Daniela
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: We investigate how the metric dimension of infinite graphs change when we add edges to the graph. Our two main results: (1) there exists a growing sequence of graphs (under the subgraph relation, but without adding vertices) for which the metric dimension changes between finite and infinite infinitely many times; (2) finite changes in the edge set can not change the metric dimension from finite to infinite or vice versa.
Databáze: arXiv