Arijit Ghosh

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20242026

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4 papers · 1 filter

math.CO2026

Almost covering all the layers of hypercube with multiplicities

Arijit Ghosh, Chandrima Kayal, Soumi Nandi

Given a hypercube $Q^{n} := {0, 1}^{n}$ in $R^{n}$ and $k \in {0, \dots, n}$ , the $k$ -th layer $Q_{k}^{n}$ of $Q^{n}$ denotes the set of a…

math.CO2025

Helly theorem for affine spaces without dimensions

Sutanoya Chakraborty, Arijit Ghosh, Soumi Nandi

We prove a no-dimensional Helly theorem for affine spaces and convex sets using the unboundedness framework of Aronov, Goodman, and Pollack (Computational Geometry, 2002). This gen…

math.CO2025

About almost covering subsets of the hypercube

Arijit Ghosh, Chandrima Kayal, Soumi Nandi

Let $F$ be a field, and consider the hypercube ${0, 1}^{n}$ in $F^{n}$ . Sziklai and Weiner (Journal of Combinatorial Theory, Series A 2022) showed that if a p…

math.CO2024

Stabbing boxes with finitely many axis-parallel lines and flats

Sutanoya Chakraborty, Arijit Ghosh, Soumi Nandi

In this short note, we provide the necessary and sufficient condition for an infinite collection of axis-parallel boxes in $R^{d}$ to be pierceable by finitely many axis-p…