Figueroa-Centeno et al.'s product antimagic conjecture

Let $G=(V,E)$ be a connected graph of size $m$. A labeling of its edges by $\{1,2,\dots,m\}$ is product antimagic if the products of the labels incident with the vertices are pairwise distinct. Figueroa-Centeno et al.'s product antimagic conjecture. Every connected graph of size at least three is product antimagic. Product antimagic labelings were introduced by Figueroa-Centeno et al.; the conjecture is presented as an open variation of the antimagic graph problem.