2 papers
math.CO2025
New Helly-type results for discrete boxes: Quantitative colorful and -variants
Rahul Gangopadhyay, Alexander Polyanskii, Wei Rao
In 2008, Halman showed that for any finite set and any finite family of axis-parallel boxes in , if the intersection of and a…
cs.CG2024
Sweeping Arrangements of Non-Piercing Curves in Plane
Suryendu Dalal, Rahul Gangopadhyay, Rajiv Raman +1
Let be an arrangement of Jordan curves in the plane, i.e., simple closed curves in the plane. For any curve , we denote the bounded region enclosed by as .…