Abstract
The findings in the present research paper on the metric dimension of the Dodecahedral Other Embedding (denoted here by G) for pendent and prism graphs are bounded. Further it is concluded that only three vertices chosen appropriately suffice to resolve all the vertices of these graphs for n = 0 (mod 4), n ≥ 16, n = 2 (mod 4), n ≥ 18 and n = 3 (mod 4), n ≥ 11 for pendent and prism graphs respectively and only four vertices chosen appropriately suffice to resolve all the vertices of these graphs for n = 1 (mod 4), n ≥ 17.
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