2 problems

Exponential average-availability conjecture. There exists a constant $c>1$ such that, for every planar graph $G$ and local girth function $f$ for $G$, there is a legal sequence of…

A graph $G$ is weakly $d$-degenerate if it is weakly $f$-degenerate for the constant function with value $d$, and its weak degeneracy $\operatorname{wd}(G)$ is the minimum such int…