Constructs flag simplicial spheres with independence number asymptotically equal to vertex count, disproving Chudnovsky-Nevo conjecture.
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2 Pith papers cite this work, alongside 115 external citations. Polarity classification is still indexing.
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Pith papers citing it
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math.CO 2years
2026 2representative citing papers
For hypercube Vietoris–Rips complexes, the paper derives connectivity and coconnectivity bounds and constructs explicit cohomology classes with cross-polytope representatives, but key theorems contain errors.
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Large Independent Sets in Flag Spheres
Constructs flag simplicial spheres with independence number asymptotically equal to vertex count, disproving Chudnovsky-Nevo conjecture.
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Cohomological properties of the Vietoris--Rips Complex of a Hypercube Graph
For hypercube Vietoris–Rips complexes, the paper derives connectivity and coconnectivity bounds and constructs explicit cohomology classes with cross-polytope representatives, but key theorems contain errors.