On the $2$-dimensional flow number of the Flower snarks

Davide Mattiolo, Jozef Rajník

Let $r\ge 2$ be a real number, $d$ a positive integer. A $d$-dimensional nowhere-zero $r$-flow, or $(r,d)$-NZF, on a graph $G$ is an orientation of $G$ together with a function $f\…