It is quite nice see that our [D-V.Rödl] bound on Thomassen's conjecture stood for over a decade, but I always felt that it would be improved to at least what Janzer and Sudakov now show.

In fact, in our paper we show the log(log(Delta)) bound assuming that G is C4-free, now you can get this (and much more) without assuming structure on G. Fantastic!