Journal of Prime Research in Mathematics

Invariance of metric dimension of subdivision of the crown graph

Abdul Rauf Nizami
Faculty of Information Technology, University of Central Punjab, Lahore-Pakistan.

\(^{1}\)Corresponding Author: arnizami@ucp.edu.pk

Abstract

Metric dimension has applications in several areas including computer navigation, chemistry, and image processing. In this paper we give metric dimension of the crown graph \(S_n\), \(n ≥ 3\), and show that it remains invariant under any of its subdivision.

Keywords:

Metric dimension, resolving set, crown graph.