The Diameter of Long-Range Percolation Clusters on Finite Cycles

Abstract

Bounds for the diameter and for the expansion of long-range percolation clusters on the cycle $\mathbb{Z}/N\mathbb{Z}$ are given.

arXiv comment9 pages

References in corpus (2)

• Transience, Recurrence and Critical Behavior for Long-Range Percolation
• Small-World Networks: Links with long-tailed distributions