I have a real-world graph that I wish to draw in one dimension. Here's the graph:

I'd like to draw it using some kind of force-directed graph drawing method. I'm supposing this is both possible and practical, but it may be that there's some obstacle I'm unaware of. So, I'll begin with:

Question: Is 1D force-directed graph drawing possible and practical?

And if so:

Question: Does there exist software for force-directed graph drawing in 1D?

Gephi (among other packages) can provide a force-directed graph drawing in 2D, but I don't believe it can draw in 1D.

(*Motivation*: I'd like to see how similar the 1D force-directed drawing is to the drawing above, which places the vertices equispaced along the line, and in the order in which they are generated.)