On local fractional metric dimension of harary graphs
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Date
2022
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UMT Lahore
Abstract
Let g = ( v(g),e(g) ) be a finite connected graph. We will compute local fractional metric dimension (lfmd) of harary graphs by generating four classes n ≡ 0(mod4), n ≡ 1(mod4), n ≡ 2(mod4), n ≡ 3(mod4). The bounded and unboundedness also discussed for lfmd of that graph. We developed the general formulas of upper and lower bounds of local fractional metric dimension of harary graphs in the form of m and n where m is even and n may be odd or even. All the obtained results are illustrated by the examples of particular graphs belonging to the understudied families of graphs.