Arijit Ghosh

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math.CO2025

No Infinite $(p, q)$ -Theorem for Piercing Compact Convex Sets with Lines in $R^{3}$

Sutanoya Chakraborty, Arijit Ghosh

An infinite $(p, q)$ -theorem, or an $(ℵ_{0}, q)$ -theorem, involving two families $F$ and $G$ of sets, states that if in every infinite subset of $F$ ,…

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…

No Infinite (p,q)-Theorem for Piercing Compact Convex Sets with Lines in R3

A Hanani-Tutte Theorem for Cycles

No Infinite $(p, q)$ -Theorem for Piercing Compact Convex Sets with Lines in $R^{3}$