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math.CO2020
Optimal bounds for the colorful fractional Helly theorem
Denys Bulavka, Afshin Goodarzi, Martin Tancer
The well known fractional Helly theorem and colorful Helly theorem can be merged into the so called colorful fractional Helly theorem. It states: For every and every…
math.CO2020
Sequentially is a topological property
Afshin Goodarzi
We show that the sequentially condition for simplicial complexes is a topological property. Along the way, we present an elementary proof for the fact that the Serre's cond…