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math.CO2021
Abelian groups from random hypergraphs
Andrew Newman
For a -uniform hypergraph on vertex set we associate a particular signed incidence matrix over the integers. For $\mathcal{H} \sim…
math.AT2021★ 1 cited
One-sided sharp thresholds for homology of random flag complexes
Andrew Newman
We prove that the random flag complex has a probability regime where the probability of nonvanishing homology is asymptotically bounded away from zero and away from one. Related to…
math.AC2021
Random subcomplexes and Betti numbers of random edge ideals
Anton Dochtermann, Andrew Newman
We study homological properties of random quadratic monomial ideals in a polynomial ring , utilizing methods from the Erdös-Rényi model of random g…