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arXiv · 2605.06837

The strong and doubly metric dimensions of Johnson and Kneser graphs

Jozef Kratica·Mirjana Čangalović·Vera Kovačević-Vujčić
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Abstract

In this paper, the strong and doubly metric dimensions of Johnson and Kneser graphs are considered. The exact value of the strong metric dimension of Johnson graph $J_{n,k}$ is obtained using the well-known results from the literature. The strong metric dimension of Kneser graph $K_{n,k}$ has been obtained for $n \ge 3k-1$. Finally, it has been shown that the doubly metric dimensions of Johnson graph $J_{n,2}$ and Kneser graph $K_{n,2}$ are both $\lceil \frac{2n}{3} \rceil$.

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Jozef Kratica, Mirjana Čangalović, Vera Kovačević-Vujčić. 2026-05-07. The strong and doubly metric dimensions of Johnson and Kneser graphs. https://arxiv.org/abs/2605.06837

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