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20102026
most citedConvex Equipartitions: The Spicy Chicken Theorem

48 citations · 91 across the 23 of their papers we have counts for

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3 papers · 1 filter

math.CO2025

Crossing numbers of dense graphs on surfaces

Alfredo Hubard, Arnaud de Mesmay, Hugo Parlier

In this paper, we provide upper and lower bounds on the crossing numbers of dense graphs on surfaces, which match up to constant factors. First, we prove that if is a dense eno…

math.GT2025

Crossing number inequalities for curves on surfaces

Alfredo Hubard, Hugo Parlier

We prove that, as grows, any family of homotopically distinct closed curves on a surface induces a number of crossings that grows at least like . We use this…

math.CO2025

Cubulating the sphere with many facets

Sergey Avvakumov, Alfredo Hubard

For each we construct cube complexes homeomorphic to the -sphere with vertices in which the number of facets (assuming constant) is . This disprove…