Abstract
It is proved that if, as seems probable, the critical index in a given excluded-volume lattice problem depends only on dimensionality, then the indices obtained when only self-intersections are forbidden are the same as those obtained when nearest-neighbour contacts are also forbidden. Foe one class of lattices it is shown that the indices are still unchanged if an arbitrary interaction energy is associated with a certain subset of the nearest-neighbour contacts, the rest having no interaction.
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