Bondage-number bound for mesh networks with at least five rows

Let $G_{n,m}$ be the mesh network with parameters $n$ and $m$, and let $b(G_{n,m})$ denote its bondage number.

Mesh-network bondage conjecture. For $m\geqslant 5$,

$$b(G_{n,m})\leqslant 2.$$

This conjecture extends the paper's determination of the bondage number for $2\leqslant m\leqslant 4$ and reflects the observation that deleting a vertex has an increasingly smaller effect on the domination number as $m$ grows. Its resolution is not established in the supplied text.