Small Cycles in Small Worlds

Petra M. Gleiss, Peter F. Stadler, Andreas Wagner, and David A. Fell

00-10-058

We characterize the distributions of short cycles in a large metabolic network previously shown to have small-world characteristics and a power-law degree distribution. Compared with three networks of the same connectivity, the metabolic network has a particularly large number of triangles and a deficit in large cycles. Short cycles reduce the length of detours when a connection is clipped, so we propose that long cycles in metabolism may have been selected against in order to shorten transition times and reduce the likelihood of oscillations in response to external perturbations.