Title of article :
Computing metric and partition dimension of tessellation of plane by boron nanosheets
Author/Authors :
Mohammed ، Mohanad Ali Department of Mathematics - Open Educational College - Ministry of Education , Munshid ، Ameer. J. Dhi Qar Education Directorate - Ministry of Education , Siddiqui ، Hafiz Muhammad Afzal Department of Mathematics - COMSATS University Islamabad, Lahore Campus , Farahani ، Mohammad Reza Department of Mathematics - Iran University of Science and Technology (IUST)
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.
Keywords :
Metric dimension , partition dimension , basis , resolving set , boron nanotube.
Journal title :
Eurasian Chemical Communications
Journal title :
Eurasian Chemical Communications
