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math.CO2026
On monoids up to symmetry
Dinh Van Le, Tim Römer, Nguyen Thi Vien
We study monoids in an infinite-dimensional setting that are invariant under the action of the infinite symmetric group Sym. Our main result establishes a local--global principle c…
math.CO2024
Hadwiger's conjecture holds for strongly monotypic polytopes
Vuong Bui
In this short note, we prove Hadwiger's conjecture for strongly monotypic polytopes.