4 papers · 1 filter
Finding Representative and Approximately Efficient Committees
Dominik Peters, Rohit Vaish, Jatin Yadav
In approval-based committee voting, proportional approval voting (PAV) is a well-studied rule that combines proportional representation with Pareto efficiency. However, computing a…
Easier, but Not Easy: Nash Welfare under Lexicographic Valuations
Soumil Aggarwal, Rohit Vaish, Jatin Yadav
Maximizing Nash welfare over indivisible goods is a central problem in resource allocation. For additive valuations, the best-known approximation factor is roughly $e^{-1/e}\approx…
Hitting Axis-Parallel Segments with Weighted Points
Rajiv Raman, Siddhartha Sarkar, Jatin Yadav
We study a geometric hitting-set problem in which the input consists of a set of weighted points and a family of axis-parallel segments in the plane. The goal is to…
FPT Approximation Schemes for Min-Sum Radii and Min-Sum Diameters Clustering
Fabrizio Grandoni, Anupam Gupta, Jatin Yadav
In the classical Min-Sum Radii problem (MSR) we are given a set of points in a metric space and a positive integer . Our goal is to partition into subsets…