English

Graph sampling by lagged random walk

Statistics Theory 2022-05-16 v1 Statistics Theory

Abstract

We propose a family of lagged random walk sampling methods in simple undirected graphs, where transition to the next state (i.e. node) depends on both the current and previous states -- hence, lagged. The existing random walk sampling methods can be incorporated as special cases. We develop a novel approach to estimation based on lagged random walks at equilibrium, where the target parameter can be any function of values associated with finite-order subgraphs, such as edge, triangle, 4-cycle and others.

Keywords

Cite

@article{arxiv.2110.03459,
  title  = {Graph sampling by lagged random walk},
  author = {Li-Chun Zhang},
  journal= {arXiv preprint arXiv:2110.03459},
  year   = {2022}
}
R2 v1 2026-06-24T06:42:24.228Z