3 problems

Fractional arboricity bounded-diameter conjecture. There exists $d(k,\varepsilon)$ such that, if

Forest-and-bounded-diameter-forest decomposition conjecture. There exists a natural number $f(d)$ such that $G$ can be partitioned into two forests, each of whose components has di…

Bounded diameter arboricity plus-one conjecture. The class $\mathcal{A}_k$ has bounded diameter arboricity $k+1$, that is,