Computing metric and partition dimension of tessellation of plane by boron nanosheets
Mohanad Ali Mohammed, Ameer. J. Munshid, Hafiz Muhammad Afzal Siddiqui, Mohammad Reza Farahani · Eurasian Chemical Communications · 2020
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.