Andrew Newman

collaborators

2 papers

math.CO2024

A conditional lower bound for the Turán number of spheres

Andrew Newman, Marta Pavelka

We consider the hypergraph Turán problem of determining $ex (n, S^{d})$ , the maximum number of facets in a $d$ -dimensional simplicial complex on $n$ vertices that does not co…

math.CO2023

Chromatic numbers of flag 3-spheres

Andrew Newman

A recent conjecture of Chudnovsky and Nevo asserts that flag triangulations of spheres always have linear-sized independent sets, with a precisely conjectured proportion depending…