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arXiv · 2407.07851

Edge and mixed metric dimension of Johnson graphs

Jozef Kratica·Mirjana Cangalović·Vera Kovačević-Vujčić·Milica Milivojević Danas
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Abstract

In this paper, both edge and mixed metric dimensions of Johnson graphs $J_{n,k}$ are considered. A new tight lower bound for $β_E(J_{n,k})$ based on hitting sets has been obtained. Using this bound, exact values for $β_E(J_{n,2})$ and $β_M(J_{n,2})$ have been derived, and it is proved that $β_E(J_{n,2}) = β_M(J_{n,2})$.

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Jozef Kratica, Mirjana Cangalović, Vera Kovačević-Vujčić, Milica Milivojević Danas. 2024-07-10. Edge and mixed metric dimension of Johnson graphs. https://arxiv.org/abs/2407.07851

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