Philipp Sprüssel

activity

20172020

most citedPhase transitions in graphs on orientable surfaces

2 citations · 2 across the 1 of their papers we have counts for

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

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…

math.CO2017★ 2 cited

Phase transitions in graphs on orientable surfaces

Mihyun Kang, Michael Moßhammer, Philipp Sprüssel

Let $S_{g}$ be the orientable surface of genus $g$ . We prove that the component structure of a graph chosen uniformly at random from the class $S_{g} (n, m)$ of all gr…