MUHAMMAD ZULQARNAINFA18-RMT-078LHR TP 7012Dr. Muhammad Hussain2026-03-122020https://repository.cuilahore.edu.pk/handle/123456789/2751In this thesis we find out different chemical structures and then convert them into planar network graphs. Consequently, to calculate the local fractional metric dimension of these network graphs. We are also interested to extend the proposal to the rooted product of different families of graphs. We also find local metric dimension and local fractional metric dimension on the line graph of subdivided honeycomb network.enDr. Muhammad Hussainfa18Department of MathematicsMathematicsThesis