Metric Dimension of Circulant Graphs with 5 Consecutive Generators

Martin Knor, Riste Škrekovski () and Tomáš Vetrík ()
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Martin Knor: Faculty of Civil Engineering, Slovak University of Technology in Bratislava, 810 05 Bratislava, Slovakia
Riste Škrekovski: Faculty of Mathematics and Physics, University of Ljubljana, 1000 Ljubljana, Slovenia
Tomáš Vetrík: Department of Mathematics and Applied Mathematics, University of the Free State, Bloemfontein 9301, South Africa

Mathematics, 2024, vol. 12, issue 9, 1-13

Abstract: The problem of finding the metric dimension of circulant graphs with t generators 1 , 2 , … , t (and their inverses) has been extensively studied. The problem is solved for t = 2 , 3 , 4 , and some exact values and bounds are known also for t = 5 . We solve all the open cases for t = 5 .

Keywords: metric dimension; resolving set; circulant graph (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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