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cs.DS2026

Submodular Maximization over Bipartite Perfect Matchings and Matroid Intersection Bases

Chandra Chekuri, Lars Rohwedder, Neta Singer +2

Motivated by applications in fairness and foundational questions, we consider the problem of maximizing a monotone submodular function over m…

cs.DS2026

Strong and Compact Policies for Submodular Markov Decision Processes via LP-Based Submodular Orienteering

Lars Rohwedder, Rico Zenklusen

Finding policies for Markov Decision Processes (MDPs) is a central problem in areas such as Reinforcement Learning and Operations Research. Here, we have to repeatedly choose an ac…

cs.DS2025

A -approximation algorithm for the general scheduling problem in quasipolynomial time

Alexander Armbruster, Lars Rohwedder, Andreas Wiese

We study the general scheduling problem (GSP) which generalizes and unifies several well-studied preemptive single-machine scheduling problems, such as weighted flow time, weighted…

cs.DS2025

Non-Adaptive Evaluation of -of- Functions: Tight Gap and a Unit-Cost PTAS

Mads Anker Nielsen, Lars Rohwedder, Kevin Schewior

We consider the Stochastic Boolean Function Evaluation (SBFE) problem in the well-studied case of -of- functions: There are independent Boolean random variables $x_1,\dots,x_…

cs.DS2025

Multiplicative assignment with upgrades

Alexander Armbruster, Lars Rohwedder, Stefan Weltge +2

We study a problem related to submodular function optimization and the exact matching problem for which we show a rather peculiar status: its natural LP-relaxation can have fractio…