Generalized Random Simplicial Complexes

P Erdős and A Rényi, On random graphs i. , Publ. Math. Debrecen 6

1959

Earlier work this paper cites.

Werner Ballmann and J Świa̧tkowski, On l2-cohomology and property (t) for automorphism groups of polyhedral cell complexes , Geometric & Functional Analysis GAFA 7

1997

Earlier work this paper cites.

Allen Hatcher, Algebraic topology , Cambridge University Press, 2002

2002

Earlier work this paper cites.

Nathan Linial and Roy Meshulam, Homological connectivity of random 2-complexes , Combinatorica 26

2006

Earlier work this paper cites.

Matthew Kahle, Topology of random clique complexes , Discrete Mathematics 309

2009

Earlier work this paper cites.

Roy Meshulam and Nathan Wallach, Homological connectivity of random k-dimensional complexes , Random Structures & Algorithms 34

2009

Earlier work this paper cites.

Dmitry Kozlov, The threshold function for vanishing of the top homology group of random ??-complexes , Proceedings of the American Mathematical Society 138

2010

Cited alongside, same era.

Eric Babson, Christopher Hoffman, and Matthew Kahle, The fundamental group of random 2-complexes , Journal of the American Mathematical Society 24

2011

Cited alongside, same era.

Christopher Hoffman, Matthew Kahle, and Elliot Paquette, Spectral gaps of random graphs and applications to random topology , arXiv preprint arXiv:1201.0425 (2012)

Original

2012

Cited alongside, same era.

Lior Aronshtam, Nathan Linial, Tomasz Łuczak, and Roy Meshulam, Collapsibility and vanishing of top homology in random simplicial complexes , Discrete & Computational Geometry 49

2013

Cited alongside, same era.

by same author, The threshold for integer homology in random d-complexes , arXiv preprint arXiv:1308.6232 (2013)

Matthew Kahle, Elizabeth Meckes, et al., Limit the theorems for betti numbers of random simplicial complexes , Homology, Homotopy and Applications 15

2013

Later among the works it cites.

A Costa and M Farber, Random simplicial complexes , arXiv preprint arXiv:1412.5805 (2014)

Original

2014

Later among the works it cites.

by same author, Sharp vanishing thresholds for cohomology of random flag complexes , Ann. of Math. 179

2014

Later among the works it cites.

by same author, Topology of random simplicial complexes: a survey , AMS Contemp. Math 620

2014

Later among the works it cites.

Lior Aronshtam and Nathan Linial, When does the top homology of a random simplicial complex vanish? , Random Structures & Algorithms 46

2015

Closest in time.