DeVos–Mohar–Samal conjecture on crossing-free drawings of disconnected graphs

Let $G$ be the disjoint union of two connected graphs $H$ and $K$, and let $\Sigma$ be a surface. An optimal drawing of $G$ on $\Sigma$ is a drawing whose crossing number equals the crossing number of $G$ on $\Sigma$.

DeVos–Mohar–Samal conjecture. For every optimal drawing of $G$ on $\Sigma$, the restrictions to $H$ and $K$ do not intersect.

This conjecture concerns whether the connected components of a disconnected graph can always be drawn separately in an optimal drawing on any surface. Its status is not resolved by the supplied source context.