Searcharxiv⌕ Search

arXiv subjects

Vladimir Filipovic. Aleksandar Kartelj

Publications and source records attributed to Vladimir Filipovic. Aleksandar Kartelj.

1 recordsLinked to original sources

Edge metric dimension of some generalized Petersen graphs

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 the other values of $k$ the lower bound is stated.

math.CO↗