188 citations · 889 across the 32 of their papers we have counts for
Showing 1999 · cond-mat.dis-nnShow all
3 papers · 2 filters
cond-mat.dis-nn1999★ 114 cited
Spreading and shortest paths in systems with sparse long-range connections
Cristian F. Moukarzel
Spreading according to simple rules (e.g. of fire or diseases), and shortest-path distances are studied on d-dimensional systems with a small density p per site of long-range conne…
cond-mat.dis-nn1999★ 2 cited
Infinite characteristic length on small-world systems
Cristian F. Moukarzel, Marcio Argollo de Menezes
It was recently claimed that on d-dimensional small-world networks with a density p of shortcuts, the typical separation s(p) ~ p^{-1/d} between shortcut-ends is a characteristic l…
cond-mat.dis-nn1999★ 53 cited
First-order transition in small-world networks
M. Argollo de Menezes, C. Moukarzel, T. J. P. Penna
The small-world transition is a first-order transition at zero density of shortcuts, whereby the normalized shortest-path distance undergoes a discontinuity in the thermodynami…