Arijit Ghosh

activity

20222026

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math.CO2024

A Hanani-Tutte Theorem for Cycles

Sutanoya Chakraborty, Arijit Ghosh

Given a drawing $D$ of a graph $G$ , we define the crossing number between any two cycles $C_{1}$ and $C_{2}$ in $D$ to be the number of crossings that involve at least one edge fro…

math.CO2024

A geometric proof of the infinite $(p, q)$ -theorem for hyperplane piercing

Sutanoya Chakraborty, Arijit Ghosh, Soumi Nandi

We provide a geometric proof of the $(ℵ_{0}, d + 1)$ -theorem for piercing compact connected sets by hyperplanes. Our argument uses only elementary properties of convex sets and…

A Hanani-Tutte Theorem for Cycles

A geometric proof of the infinite (p,q)-theorem for hyperplane piercing

A geometric proof of the infinite $(p, q)$ -theorem for hyperplane piercing