English

Edge metric dimension of some generalized Petersen graphs

Combinatorics 2019-10-15 v3

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)GP(n,k) are studied in this paper. We prove the exact formulae for GP(n,1)GP(n,1) and GP(n,2)GP(n, 2), while for the other values of kk the lower bound is stated.

Keywords

Cite

@article{arxiv.1807.00580,
  title  = {Edge metric dimension of some generalized Petersen graphs},
  author = {Vladimir Filipovic. Aleksandar Kartelj and Jozef Kratica},
  journal= {arXiv preprint arXiv:1807.00580},
  year   = {2019}
}
R2 v1 2026-06-23T02:47:57.708Z