Relaxation Properties of Small-World Networks
arXiv:cond-mat/0004214 · doi:10.1103/PhysRevE.62.4405
Abstract
Recently, Watts and Strogatz introduced the so-called small-world networks in order to describe systems which combine simultaneously properties of regular and of random lattices. In this work we study diffusion processes defined on such structures by considering explicitly the probability for a random walker to be present at the origin. The results are intermediate between the corresponding ones for fractals and for Cayley trees.
16 pages, 6 figures