Injective edge colorings of degenerate graphs and the oriented chromatic number

Peter Bradshaw, Alexander Clow, Jingwei Xu

Given a graph $G$, an injective edge-coloring of $G$ is a function $\psi :E(G)\to \mathbb{N}$ such that if $\psi (e)=\psi (e^{\prime })$, then no third edge joins an endpoint of $e$ and an en…