Abstract
We have calculated exactly the number, the mean-square end-to-end distance, the mean-square radius of gyration, and the mean-square distance of a monomer from the origin for n-step self-avoiding walks on the simple cubic, diamond, body-centred cubic and face-centred cubic lattices, respectively, up to 20, 30, 16 and 13 steps by a computer. Two universal amplitude ratios are estimated.
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