FREE-ENERGY OF SELF-INTERACTING UNIFORM STARS

We consider uniform star polymers on a variety of lattices, with an ad ditional contact interaction between pairs of vertices which are unit distance apart and are not joined by an edge of the star. We present s ome rigorous results and other evidence which indicate that these syst ems have the same limiting free energy as self-interacting self-avoidi ng walks. We discuss the extension of these results to other homeomorp hism types and to systems with an additional surface interaction term.