Web of Science (Emerging Sources Citation Index)

Document Type: Original Research Article

Authors

1 Department of Mathematics, Open Educational College, Ministry of Education, Al-Qadisiya Centre, Iraq

2 Ministry of Education, Dhi Qar Education Directorate, Iraq

3 Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, MI, Pakistan

4 Department of Mathematics, Iran University of Science and Technology (IUST), Narmak, 16844, Tehran, Iran

Abstract

Metric dimension dim(G) and portion dimension pd(G) are usually related as pd(G)≤dim(G)+1. However, if the partition dimension is significantly smaller than the metric dimension, then it is termed as discrepancy. This paper mainly deals with metric dimension and partition dimension of tessellation of plane by boron nanosheets. It has been proved that there is a discrepancy between the mentioned parameters of the boron nanosheets. Moreover, some induced subgraphs of the stated sheets have been considered for the study of their metric dimension.

Graphical Abstract

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