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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 p c where Delta p c =p c -0.0995, in three dimensions and 0.9530<or= gamma 1 <or=0.9548 in two dimensions, where p c for the triangular lattice is assumed to lie in the range 0.240 915
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De’Bell et al. (1985) studied this question.
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