Abstract
The edge metric dimension problem was recently introduced, which initiated the study of its mathematical properties. The theoretical properties of the edge metric representations and the edge metric dimension of generalized Petersen graphs GP(n, k) are studied in this paper. We prove the exact formulae for GP(n, 1) and GP(n, 2), while for other values of k a lower bound is stated.
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This research was partially supported by Serbian Ministry of Education, Science and Technological Development under the Grants Nos. 174010 and 174033.
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Filipović, V., Kartelj, A. & Kratica, J. Edge Metric Dimension of Some Generalized Petersen Graphs. Results Math 74, 182 (2019). https://doi.org/10.1007/s00025-019-1105-9
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DOI: https://doi.org/10.1007/s00025-019-1105-9