Bonato, Janssen, and Roshanbin's burning number conjecture

Let $G$ be a connected graph of order $n$, and let $b(G)$ denote its burning number. Bonato, Janssen, and Roshanbin's conjecture.

$$b(G)\leq \left\lceil\sqrt{n}\right\rceil.$$

This conjecture would improve the general bound $b(G)\leq 2\left\lceil\sqrt{n}\right\rceil-1$ and seeks the sharp order-of-magnitude upper bound for the burning number of connected graphs. It is presented as an open problem.