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math.CO2023★ 1 cited
Stability for hyperplane covers
Shagnik Das, Valjakas Djaljapayan, Yen-chi Roger Lin +1
An almost -cover of the hypercube is a collection of hyperplanes that avoids the origin and covers every other vertex at least times. When is large wit…
math.CO2023
Strong blocking sets and minimal codes from expander graphs
Noga Alon, Anurag Bishnoi, Shagnik Das +1
A strong blocking set in a finite projective space is a set of points that intersects each hyperplane in a spanning set. We provide a new graph theoretic construction of such sets:…
math.CO2023
Covering grids with multiplicity
Anurag Bishnoi, Simona Boyadzhiyska, Shagnik Das +1
Given a finite grid in , how many lines are needed to cover all but one point at least times? Problems of this nature have been studied for decades, with a genera…