A. Newman

activity

20152023

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Showing 2018Show all

2 papers · 1 filter

math.CO2018

The integer homology threshold in $Y_{d} (n, p)$

Andrew Newman, Elliot Paquette

We prove that in the $d$ -dimensional Linial--Meshulam stochastic process the $(d - 1)$ st homology group with integer coefficients vanishes exactly when the final isolated $(d - 1)$ …

math.AT2018

A lower bound on the number of homotopy types of simplicial complexes on $n$ vertices

Andrew Newman

For $n \in N$ , let $h (n)$ denote the number of simplicial complexes on $n$ vertices up to homotopy equivalence. Here we prove that $h (n) \geq 2^{2^{0.02 n}}$ when $n$ is la…

The integer homology threshold in Yd​(n,p)

A lower bound on the number of homotopy types of simplicial complexes on n vertices

The integer homology threshold in $Y_{d} (n, p)$

A lower bound on the number of homotopy types of simplicial complexes on $n$ vertices