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math.CO2024
About almost covering subsets of the hypercube
Arijit Ghosh, Chandrima Kayal, Soumi Nandi
Let be a field, and consider the hypercube in . Sziklai and Weiner (Journal of Combinatorial Theory, Series A 2022) showed that if a p…
math.CO2024
A geometric proof of the infinite -theorem for hyperplane piercing
Sutanoya Chakraborty, Arijit Ghosh, Soumi Nandi
We provide a geometric proof of the -theorem for piercing compact connected sets by hyperplanes. Our argument uses only elementary properties of convex sets and…