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20212025
most citedOptimal Capacity Modification for Many-To-One Matching Problems

3 citations · 6 across the 18 of their papers we have counts for

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cs.GT2024

Ex-post Stability under Two-Sided Matching: Complexity and Characterization

Haris Aziz, Gergely Csáji, Péter Biró

A probabilistic approach to the stable matching problem has been identified as an important research area with several important open problems. When considering random matchings, e…

cs.DS2024

Extending Stable and Popular Matching Algorithms from Bipartite to Arbitrary Instances

Gergely Csáji

We consider stable and popular matching problems in arbitrary graphs, which are referred to as stable roommates instances. We extend the 3/2-approximation algorithm for the maximum…

cs.GT2024

The NTU Partitioned Matching Game for International Kidney Exchange Programs

Gergely Csáji, Tamás Király, Zsuzsa Mészáros-Karkus

Motivated by the real-world problem of international kidney exchange (IKEP), recent literature introduced a generalized transferable utility matching game featuring a partition of…

cs.GT2024

Popular Maximum-Utility Matchings with Matroid Constraints

Gergely Csáji, Tamás Király, Kenjiro Takazawa +1

We investigate weighted settings of popular matching problems with matroid constraints. The concept of popularity was originally defined for matchings in bipartite graphs, where ve…

cs.GT2024

Popularity and Perfectness in One-sided Matching Markets with Capacities

Gergely Csáji

We consider many-to-one matching problems, where one side corresponds to applicants who have preferences and the other side to houses who do not have preferences. We consider two d…

cs.DS2024

Approximating maximum-size properly colored forests

Yuhang Bai, Kristóf Bérczi, Gergely Csáji +1

In the Properly Colored Spanning Tree problem, we are given an edge-colored undirected graph and the goal is to find a properly colored spanning tree, i.e., a spanning tree in whic…