The graph structure of graph groups that are subgroups of Thompson's group.

We determine exactly which graph products, also known as Right Angled Artin Groups, embed into Richard Thompson's group . It was shown by Bleak and Salazar-Díaz that was an obstruction. We show that this is the only obstruction. This is shown by proving a graph theory result giving an alternate description of simple graphs without an appropriate induced subgraph. [ABSTRACT FROM AUTHOR]