In this paper, both edge and mixed metric dimensions of Johnson graphs Jn,k are considered. A new tight lower bound for βE(Jn,k) based on hitting sets has been obtained. Using this bound, exact values for βE(Jn,2) and βM(Jn,2) have been derived, and it is proved that βE(Jn,2) = βM(Jn,2).
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Kratica et al. (2024) studied this question.
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