Random hypergraphs, random simplicial complexes and their Künneth-type formulae

Random graphs (graph-theoretic aspects) (05C80) Combinatorial probability (60C05) Data structures (68P05) Simplicial sets and complexes in algebraic topology (55U10) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

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Correction to our article ``Topology of random 2-complexes
On the phase transition in random simplicial complexes
On eigenvalues of random complexes
Topology of random 2-complexes
Homological connectivity of random 2-complexes
Geometry and topology of random 2-complexes
Topology of random clique complexes
Collapsibility and vanishing of top homology in random simplicial complexes
A Künneth formula for finite sets
The embedded homology of hypergraphs and applications
The threshold for integer homology in random \(d\)-complexes
Sharp vanishing thresholds for cohomology of random flag complexes
On topological minors in random simplicial complexes
The threshold for d-collapsibility in random complexes*
Large random simplicial complexes, III the critical dimension
The threshold function for vanishing of the top homology group of random 𝑑-complexes
The fundamental group of random 2-complexes
Inside the critical window for cohomology of random k -complexes
Homological connectivity of random k -dimensional complexes
Random Simplicial Complexes
The asphericity of random 2‐dimensional complexes
Maps on random hypergraphs and random simplicial complexes
Homological Domination in Large Random Simplicial Complexes
Fundamental groups of clique complexes of random graphs
Large random simplicial complexes, II; the fundamental group
Random Graphs
Large random simplicial complexes, I
The embedded homology of hypergraph pairs
Graph homotopy and Graham homotopy
Discrete differential calculus on simplicial complexes and constrained homology
Topological embeddings into random 2‐complexes

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