@article{Koam2023, 
author = {Ali N. A. Koam and Sikander Ali and Ali Ahmad and Muhammad Azeem and Muhammad Kamran Jamil},
title = {Resolving set and exchange property in nanotube},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {9},
pages = {20305-20323},
keywords = {resolving set, metric dimension, nanotube, quadrilateral-octogonal grid, exchange property},
url = {https://www.sciopen.com/article/10.3934/math.20231035},
doi = {10.3934/math.20231035},
abstract = {Give us a linked graph,    G  =  (  V  ,  E  )  . A vertex    w  ∈  V distinguishes between two components (vertices and edges)    x  ,  y  ∈  E  ∪  V if        d    G    (  w  ,  x  )  ≠      d    G    (  w  ,  y  )  . Let        W          1       and        W          2       be two resolving sets and        W          1          ≠        W          2      . Then, we can say that the graph    G has double resolving set. A nanotube derived from an quadrilateral-octagonal grid belongs to essential and extensively studied compounds in materials science. Nano-structures are very important due to their thickness. In this article, we have discussed the metric dimension of the graphs of nanotubes derived from the quadrilateral-octagonal grid. We proved that the generalized nanotube derived from quadrilateral-octagonal grid have three metric dimension. We also check that the exchange property is also held for this structure.}
}