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math.CO2026
A colorful quantitative Helly theorem for volume
Grigory Ivanov
We prove a colorful quantitative Helly theorem for volume with the optimal number of colors. If every rainbow intersection from finite families of convex sets in h…
math.CO2026
A colorful Steinitz theorem with different centers
G. Ivanov
We prove a colorful quantitative Steinitz theorem in which the color classes may have different centers. If the convex hull of each of sets in contains a translate of t…