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cs.DS2024★ 1 cited
Stable Approximation Algorithms for Dominating Set and Independent Set
Mark de Berg, Arpan Sadhukhan, Frits Spieksma
We study the Dominating set problem and Independent Set Problem for dynamic graphs in the vertex-arrival model. We say that a dynamic algorithm for one of these problems is -sta…
cs.CG2024
On Stable Approximation Algorithms for Geometric Coverage Problems
Mark de Berg, Arpan Sadhukhan
Let be a set of points in the plane and let be an integer. The goal of Max Cover by Unit Disks problem is to place unit disks whose union covers the maximum number of p…
math.CO2024
A Simple Construction of Tournaments with Finite and Uncountable Dichromatic Number
Arpan Sadhukhan
The dichromatic number of a digraph is the minimum number of colors needed to color the vertices in such a way that no monochromatic directed cy…