Abstract
The analysis of exact enumeration data of self-avoiding walks attached to the surfaces of triangular and face-centred cubic lattices is consistent with gamma 1=0.718+or-0.008+136 Delta pc where Delta pc=pc-0.0995, in three dimensions and 0.95301c for the triangular lattice is assumed to lie in the range 0.240 915c<or=0.240 93.