We study the cover time of a random walk on the largest component of the random graph Gn,p. We determine its value up to a factor 1 + o(1) whenever np = c > 1, c = O(ln n). In ...
Random Walks (RWs) have been considered for information dissemination in large scale, dynamic and unstructured environments, as they are scalable, robust to topology changes and d...
Random walks in wireless sensor networks can serve as fully local, very simple strategies for sink motion that reduce energy dissipation a lot but increase the latency of data coll...
Constantinos Marios Angelopoulos, Sotiris E. Nikol...
Jim Propp's rotor router model is a deterministic analogue of a random walk on a graph. Instead of distributing chips randomly, each vertex serves its neighbors in a fixed or...
Joshua N. Cooper, Benjamin Doerr, Tobias Friedrich...
Jim Propp’s P-machine, also known as the ‘rotor router model’ is a simple deterministic process that simulates a random walk on a graph. Instead of distributing chips to ran...
Joshua N. Cooper, Benjamin Doerr, Joel H. Spencer,...