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.