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cs.CG2022
Colorful two-piercing theorem for boxes
Sourav Chakraborty, Arijit Ghosh, Soumi Nandi
We prove a colorful extension of a Helly-type theorem by Danzer and Grünbaum (Combinatorica, 1982) concerning two-piercing families of axis-parallel boxes in . We als…
cs.CG2013
Helly-Type Theorems in Property Testing
Sourav Chakraborty, Rameshwar Pratap, Sasanka Roy +1
Helly's theorem is a fundamental result in discrete geometry, describing the ways in which convex sets intersect with each other. If is a set of points in , we say tha…