The burning number conjecture holds for trees of order $n$ with at most $\lfloor \sqrt{n-1}\rfloor$ degree-2 vertices

Jiajun Ning, Xian'an Jin, Meiqiao Zhang

Inspired by the spread of information in social networks and graph-theoretic processes such as Firefighting and graph cleaning, Bonato, Janssen and Roshanbin introduced in 2016 the…