E. Swierczak et Aj. Guttmann, SELF-AVOIDING WALKS AND POLYGONS ON NON-EUCLIDEAN LATTICES, Journal of physics. A, mathematical and general, 29(23), 1996, pp. 7485-7500
Self-avoiding walks and polygons on four non-Euclidean lattices are st
udied by the method of series expansions. It appears that the polygons
and walks have different critical points from each other, and that bo
th are in a different universality class to their Cartesian lattice co
unterparts. An exact solution is given for one lattice.