Article - post-print
In previous work, the author defined the intersection graph of a chord diagram associated with string links (as in the theory of finite type invariants). In this paper, we classify the trees which can be obtained as intersection graphs of string link diagrams.
Mellor, B., 2006: Tree Diagrams for String Links. J. Knot Theory Ramif., 15.10, 1303-1318, arXiv:math/0405537.