Random Geometric Complexes

The fundamental group of random $2$-complexes

(2010) Eric Babson et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Topology and data

(2009) Gunnar Carlsson   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

Vietoris–Rips Complexes of Planar Point Sets

(2009) Erin W. Chambers et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Clique percolation

(2009) Béla Bollobás et al.   RANDOM STRUCTURES & ALGORITHMS

Finding the Homology of Submanifolds with High Confidence from Random Samples

(2008) Partha Niyogi et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Topology of random clique complexes

(2008) Matthew Kahle   DISCRETE MATHEMATICS

Homological connectivity of randomk-dimensional complexes

(2008) R. Meshulam et al.   RANDOM STRUCTURES & ALGORITHMS