English

Coboundary expanders

Combinatorics 2011-04-18 v2 Algebraic Topology Probability

Abstract

We describe a natural topological generalization of edge expansion for graphs to regular CW complexes and prove that this property holds with high probability for certain random complexes.

Keywords

Cite

@article{arxiv.1012.5316,
  title  = {Coboundary expanders},
  author = {Dominic Dotterrer and Matthew Kahle},
  journal= {arXiv preprint arXiv:1012.5316},
  year   = {2011}
}

Comments

Version 2: significant rewrite. 18 pages, title changed, and main theorem extended to more general random complexes

R2 v1 2026-06-21T17:03:49.627Z