In 1997, Kotchetkov conjectured that the valency class of diameter four trees of (generic) type (a,b,c,d,e) splits into at least two Galois orbits if abcde(a+b+c+d+e) is a square. Zapponi proves a stronger version of this conjecture for general trees using a novel bijection between dessins d'enfants and integral oriented ribbon graphs that are the critical graphs of Strebel differentials. Under this bijection the "deformation" of a dessin d'enfant is possible, and an associated moduli space is constructed. Beforehand, we'll wrap-up the previous talk with a few additional details on lifting trees from positive characteristic. We'll introduce additional combinatorial data associated to a diameter four tree relating to the ramification indices of primes in its moduli field and a process of reducing questions of wild ramification to the tame case.