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math.CO2024
Helly numbers for Quantitative Helly-type results
G. Ivanov, M. Naszodi
We obtain three Helly-type results. First, we establish a Quantitative Colorful Helly-type theorem with the optimal Helly number \(2d\) concerning the diameter of the intersection…
math.CO2024
Colorful positive bases decomposition and Helly-type results for cones
Grigory Ivanov
We prove the following colorful Helly-type result: Fix . Assume are finite sets (colors) of nonzero vectors in .…