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math.CO2025
Disproving two conjectures on the Hamiltonicity of Venn diagrams
Sofia Brenner, Linda Kleist, Torsten Mütze +2
In 1984, Winkler conjectured that every simple Venn diagram with curves can be extended to a simple Venn diagram with curves. His conjecture is equivalent to the statemen…
math.CO2024
Listing faces of polytopes
Nastaran Behrooznia, Sofia Brenner, Arturo Merino +3
This paper investigates the problem of listing faces of polytopes that represent combinatorial objects, such as hypercubes, permutahedra, associahedra, and their generalizations. F…