The burning number Formula: see text of a graph Formula: see text, introduced by Bonato, is the minimum number of steps to burn the graph. Bonato et al. (2014) conjectured that Formula: see text for any connected graph Formula: see text of order Formula: see text. In this paper, we confirmed this conjecture for 3-caterpillars and 4-caterpillars and then bounded the burning number of Formula: see text-caterpillars.
Y et al. (Wed,) studied this question.