Small-world networks and the conformation space of a short lattice polymerchain

We map the conformation space of a short lattice polymer chain to a network , where i) the vertices of the network have a one-to-one correspondence to the conformations of the chain, and ii) a link between two vertices indicat es the possibility of switching from one conformation to the other by a sin gle Monte Carlo move of the chain. We find that the geometric properties of this network are similar to those of small-world networks, namely, the dia meter of conformation space increases, for large networks, as the logarithm of the number of conformations, while locally the network appears to have low dimensionality.