N. Giudice

collaborators

3 papers

math.CO2020

Phase transition in cohomology groups of non-uniform random simplicial complexes

Oliver Cooley, Nicola Del Giudice, Mihyun Kang +1

We consider a generalised model of a random simplicial complex, which arises from a random hypergraph. Our model is generated by taking the downward-closure of a non-uniform binomi…

math.CO2018

Subcritical random hypergraphs, high-order components, and hypertrees

Oliver Cooley, Wenjie Fang, Nicola Del Giudice +1

In the binomial random graph $G (n, p)$ , when $p$ changes from $(1 - ε) / n$ (subcritical case) to $1/ n$ and then to $(1 + ε) / n$ (supercritical case) for $\va…

math.CO2018

Vanishing of cohomology groups of random simplicial complexes

Oliver Cooley, Nicola Del Giudice, Mihyun Kang +1

We consider $k$ -dimensional random simplicial complexes that are generated from the binomial random $(k + 1)$ -uniform hypergraph by taking the downward-closure, where $k \geq 2$ . For…