← Search

Dušan Knop

12 accepted papers

2026

Dividing Indivisible Items for the Benefit of All: It Is Hard to Be Fair Without Social Awareness

AAAI 2026technical

In standard fair division models, we assume that all agents are selfish. However, in many scenarios, division of resources has a direct impact on the whole group or even society. Therefore, we study fair allocations of indivisible items that, at the same time, maximize social impact. In this model,

Cited by 0SourcePDFScholar
2026

Exact Algorithms for Distance to Unique Vertex Cover

AAAI 2026technical

In their AAAI 2024 paper, Horiyama et al. studied the problem of generating graph instances that possess a unique minimum vertex cover under specific conditions. Their approach involved pre-assigning certain vertices to be part of the solution or excluding them from it. Notably, for the Vertex Cover

Cited by 0SourcePDFScholar
2025

Balanced and Fair Partitioning of Friends

AAAI 2025technical

In the recently introduced model of fair partitioning of friends, there is a set of agents located on the vertices of an underlying graph that indicates the friendships between the agents. The task is to partition the graph into k balanced-sized groups, keeping in mind that the value of an agent for…

Cited by 1SourcePDFScholar
2025

Exact Algorithms for Multiagent Path Finding with Communication Constraints on Tree-Like Structures

AAAI 2025technical

Consider the scenario where multiple agents have to move in an optimal way through a network, each one towards their ending position, and while avoiding collisions. By optimal, we mean as fast as possible, which is evaluated by a measure known as the makespan of the proposed solution. This is the se…

Cited by 0SourcePDFScholar
2025

Participatory Budgeting Project Strength via Candidate Control

IJCAI 2025

We study the complexity of candidate control in participatory budgeting elections. The goal of constructive candidate control is to ensure that a given candidate wins by either adding or deleting candidates from the election (in the destructive setting, the goal is to prevent a given candidate from

Cited by 0SourcePDFScholar
2025

Solving Multiagent Path Finding on Highly Centralized Networks

AAAI 2025technical

The Mutliagent Path Finding (MAPF) problem consists of identifying the trajectories that a set of agents should follow inside a given network in order to reach their desired destinations as soon as possible, but without colliding with each other. We aim to minimize the maximum time any agent takes t…

Cited by 0SourcePDFScholar
2024

Aggregation of Continuous Preferences in One Dimension

IJCAI 2024poster

We develop a general, formal model of social choice in which voters have continuous preferences over a one-dimensional space. Our model is parameterized by different restrictions that we introduce regarding the way voter preferences change in time as well as the optimization criteria (that correspon…

Cited by 0SourcePDFScholar
2024

Exact Algorithms and Lowerbounds for Multiagent Path Finding: Power of Treelike Topology

AAAI 2024technical

In the Multiagent Path Finding (MAPF for short) problem, we focus on efficiently finding non-colliding paths for a set of k agents on a given graph G, where each agent seeks a path from its source vertex to a target. An important measure of the quality of the solution is the length of the proposed s…

Cited by 6SourcePDFScholar
2024

Individual Rationality in Topological Distance Games Is Surprisingly Hard

IJCAI 2024poster

In the recently introduced topological distance games, strategic agents need to be assigned to a subset of vertices of a topology. In the assignment, the utility of an agent depends on both the agent's inherent utilities for other agents and its distance from them on the topology. We study the compu…

Cited by 2SourcePDFScholar
2023

The Parameterized Complexity of Network Microaggregation

AAAI 2023technical

Microaggregation is a classical statistical disclosure control technique which requires the input data to be partitioned into clusters while adhering to specified size constraints. We provide novel exact algorithms and lower bounds for the task of microaggregating a given network while considering b…

Cited by 7SourcePDFScholar
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