Cohomological properties of the Vietoris--Rips Complex of a Hypercube Graph

Martin Bendersky, Salvatore Elia, Jelena Grbic

We develop a toric topological framework for studying the cohomology of Vietoris--Rips complexes $VR(Q_n;r)$ of hypercube graphs. Using total domination invariants and spectral met…