As an extension of the class of algebraic links, A’Campo, Gibson, and Ishikawa constructed links associated to immersed arcs and trees in a two-dimensional disk. By extending their arguments, we construct links associated to immersed graphs in a disk, and show that such links are quasipositive.
"Links associated with generic immersions of graphs." Algebr. Geom. Topol. 4 (1) 571 - 594, 2004. https://doi.org/10.2140/agt.2004.4.571