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20212026
most citedThe Worst-Case Complexity of Symmetric Strategy Improvement

1 citations · 1 across the 5 of their papers we have counts for

collaborators

6 papers

math.CO2026

Ample sets in Cartesian products

Victor Chepoi, Matthew Maat

Ample sets of hypercubes, introduced by A. Dress in 1995, constitute a combinatorial structure with rich properties and important examples. Ample sets can be characterized in a mul…

math.OC2025

Lower bounds for ranking-based pivot rules

Yann Disser, Georg Loho, Matthew Maat +1

The existence of a polynomial pivot rule for the simplex method for linear programming, policy iteration for Markov decision processes, and strategy improvement for parity games ea…

cs.GT2025

Connecting Strategy Improvement, the Simplex Algorithm and Lopsidedness

Matthew Maat

The strategy improvement algorithm for mean payoff games and parity games is a local improvement algorithm, just like the simplex algorithm for linear programs. Their similarity ha…

cs.GT2025

Cycle Patterns and Mean Payoff Games

Georg Loho, Matthew Maat, Mateusz Skomra

We introduce the concept of a \emph{cycle pattern} for directed graphs as functions from the set of cycles to the set . The key example for such a pattern is derived fro…

cs.GT2023★ 1 cited

The Worst-Case Complexity of Symmetric Strategy Improvement

Tom van Dijk, Georg Loho, Matthew Maat

Symmetric strategy improvement is an algorithm introduced by Schewe et al. (ICALP 2015) that can be used to solve two-player games on directed graphs such as parity games and mean…

cs.CG2021

A better lower bound for Lower-Left Anchored Rectangle Packing

Ruben Hoeksma, Matthew Maat

Given any set of points in the unit square that contains the origin, does a set of axis aligned rectangles, one for each point in , exist, such that each of them has a point…