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S. Kapunac

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Open access Oct 2026

EXACT OPEN-LOCATING-DOMINATING NUMBERS OF HELM, CYCLE CORONA, AND GEAR GRAPHS

An open-locating-dominating (OLD) set in a graph is a subset of vertices that dominates the graph and distinguishes all pairs of vertices via their open neighborhoods within the set. In this paper, we determine the exact OLD number $\gamma_{\mathrm{OLD}}(G)$ for three families of structured graphs. We first establish...

S. Kapunac · 0 citations

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