1 citations · 1 across the 7 of their papers we have counts for
7 papers
No Infinite -Theorem for Piercing Compact Convex Sets with Lines in
Sutanoya Chakraborty, Arijit Ghosh
An infinite -theorem, or an -theorem, involving two families and of sets, states that if in every infinite subset of ,…
A Hanani-Tutte Theorem for Cycles
Sutanoya Chakraborty, Arijit Ghosh
Given a drawing of a graph , we define the crossing number between any two cycles and in to be the number of crossings that involve at least one edge fro…
Language Models are Crossword Solvers
Soumadeep Saha, Sutanoya Chakraborty, Saptarshi Saha +1
Crosswords are a form of word puzzle that require a solver to demonstrate a high degree of proficiency in natural language understanding, wordplay, reasoning, and world knowledge,…
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…
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…
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 to be pierceable by finitely many axis-p…
Finite k-Transversals of Infinite Families of Fat Convex Sets
Sutanoya Chakraborty, Arijit Ghosh, Soumi Nandi
We prove an infinite -theorem for piercing fat compact convex sets in $\RR^d$ with -flats. Additionally, we develop a new framework through which infinite -theorem…