Journal of Prime Research in Mathematics
Vol. 14 (2018), Issue 1, pp. 18 – 23
ISSN: 1817-3462 (Online) 1818-5495 (Print)
ISSN: 1817-3462 (Online) 1818-5495 (Print)
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
Copyright © 2018 Abdul Rauf Nizami. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Published: December, 2018.
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.