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Thekla Hamm

10 accepted papers

2023

A Structural Complexity Analysis of Synchronous Dynamical Systems

AAAI 2023technical

Synchronous dynamical systems are well-established models that have been used to capture a range of phenomena in networks, including opinion diffusion, spread of disease and product adoption. We study the three most notable problems in synchronous dynamical systems: whether the system will transitio…

Cited by 0SourcePDFScholar
2022

Hedonic Diversity Games: A Complexity Picture with More than Two Colors

AAAI 2022technical

Hedonic diversity games are a variant of the classical Hedonic games designed to better model a variety of questions concerning diversity and fairness. Previous works mainly targeted the case with two diversity classes (represented as colors in the model) and provided a set of initial complexity-the…

Cited by 13SourcePDFScholar
2022

The Complexity of Envy-Free Graph Cutting

IJCAI 2022poster

We consider the problem of fairly dividing a set of heterogeneous divisible resources among agents with different preferences. We focus on the setting where the resources correspond to the edges of a connected graph, every agent must be assigned a connected piece of this graph, and the fairness noti…

Cited by 11SourcePDFScholar
2022

The Complexity of Temporal Vertex Cover in Small-Degree Graphs

AAAI 2022technical

Temporal graphs naturally model graphs whose underlying topology changes over time. Recently, the problems Temporal Vertex Cover (or TVC) and Sliding-Window Temporal Vertex Cover (or Delta-TVC for time-windows of a fixed-length Delta) have been established as natural extensions of the classic Vertex…

Cited by 22SourcePDFScholar
2022

The Complexity of k-Means Clustering when Little is Known

ICML 2022spotlight

In the area of data analysis and arguably even in machine learning as a whole, few approaches have been as impactful as the classical k-means clustering. Here, we study the complexity of k-means clustering in settings where most of the data is not known or simply irrelevant. To obtain a more fine-gr…

Cited by 7SourcePDFScholar
2021

The Complexity of Object Association in Multiple Object Tracking

AAAI 2021technical

Object association, i.e., the identification of which observations correspond to the same object, is a central task for the area of multiple object tracking. Two prominent models capturing this task have been introduced in the literature: the Lifted Multicut model and the more recent Lifted Paths mo…

Cited by 7SourcePDFScholar
2021

The Parameterized Complexity of Connected Fair Division

IJCAI 2021poster

We study the Connected Fair Division problem (CFD), which generalizes the fundamental problem of fairly allocating resources to agents by requiring that the items allocated to each agent form a connected subgraph in a provided item graph G. We expand on previous results by providing a comprehensive…

Cited by 22SourcePDFScholar
2020

Stable Matchings with Diversity Constraints: Affirmative Action is beyond NP

IJCAI 2020poster

We investigate the following many-to-one stable matching problem with diversity constraints (SMTI-DIVERSE): Given a set of students and a set of colleges which have preferences over each other, where the students have overlapping types, and the colleges each have a total capacity as well as quotas f…

Cited by 0SourcePDFScholar