Aryan Kumar

Weak $k$-metric dimension of Hamming graphs: rectangular products and near-maximum parameters

We determine weak $k$-metric dimensions for several families of Hamming graphs. For $n\ge3$, $m>n$, and $3\le k\le2n$, a cyclic construction proves Conjecture 6.1 of Fern\'andez, Klav\v{z}ar, Kuziak, Mu\~noz-M\'arquez and Yero (2026) on $K_n\square K_m$. For these rectangular products, we also prove that $\operatorname...