For every non-complete connected graph with clique number at least 3, the local adjacency metric dimension is at most floor(((ω−2)/(ω−1)) n), confirming the long-open conjecture for the local metric dimension.
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Intertwining local (adjacency) metric dimension with the clique number of a graph
For every non-complete connected graph with clique number at least 3, the local adjacency metric dimension is at most floor(((ω−2)/(ω−1)) n), confirming the long-open conjecture for the local metric dimension.