A toric framework on hypercube Vietoris-Rips complexes produces connectivity lower bounds disproving Shukla's conjecture in infinite families, first global coconnectivity upper bounds, and combinatorially realized decomposable cohomology classes answering Adams and Virk.
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Cohomological properties of the Vietoris--Rips Complex of a Hypercube Graph
A toric framework on hypercube Vietoris-Rips complexes produces connectivity lower bounds disproving Shukla's conjecture in infinite families, first global coconnectivity upper bounds, and combinatorially realized decomposable cohomology classes answering Adams and Virk.