Local fractional metric dimension of cycle related graphs
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Date
2020
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Publisher
UMT Lahore
Abstract
In this thesis, we will compute local fractional metric dimension (LFMD) of cyclic graphs such as cycles, Dutch windmill and generalized Dutch windmill. We also find the general formulas for local fractional metric dimensions (LFMD) of these graphs in the form of p and q, where p is order and q is the number of copies of the used graphs to construct Dutch windmill and generalized Dutch windmill. The boundedness and unboundedness are also studied for the LFMD of those networks. All the obtained results are illustrated by the examples of the particular graphs belonging to the understudied families of graphs.