Exact enumeration of neighbour-avoiding walks on the tetrahedral and body-centred cubic lattices

The numbers and mean square lengths of short, neighbour-avoiding walks on the tetrahedral and body-centred cubic lattices have been determined exactly. Using standard extrapolation techniques, estimates have been made of the connective constants and mean square length exponents for these walks. The estimate of the mean square length exponent is 1.22, but a value of 1.20 also appears plausible.