Michael N. Manta

activity

20192026

most citedGeneralizations of the Yao-Yao partition theorem and the central transversal theorem

3 citations · 3 across the 2 of their papers we have counts for

collaborators

Showing math.COShow all

2 papers · 1 filter

math.CO2021★ 3 cited

Generalizations of the Yao-Yao partition theorem and the central transversal theorem

Michael N. Manta, Pablo Soberón

We generalize the Yao-Yao partition theorem by showing that for any smooth measure in $R^{d}$ there exist equipartitions using $(t + 1) 2^{d - 1}$ convex regions such that every hyperplan…

math.CO2019

Triangle colorings require at least seven colors

Michael N. Manta

We show that if a coloring of the plane has the properties that any two points at distance one are colored differently and the plane is partitioned into uniformly colored triangles…