Exploration reveals metric dimension values for generalized theta graphs, suggesting structural implications.
A vertex w in a graph G is said to resolve two vertices u and v if d(w,u)≠ d(w, v). A set W of vertices is a resolving set for G if every pair of distinct vertices is resolved by some vertex in W. The metric dimension of G is the minimum cardinality of such a set. In this paper, we investigate the metric dimension of generalized theta graphs, providing exact values and structural insights for several subclasses.
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Benakli et al. (2025) studied this question.
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