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We consider the problem of matching applicants to posts where applicants have preferences over posts. Thus the input to our problem is a bipartite graph G = (A U P,E), where A denotes a set of applicants, P is a set of posts, and there are…

Discrete Mathematics · Computer Science 2017-04-05 Prajakta Nimbhorkar , Arvind Rameshwar

Citizens' assemblies need to represent subpopulations according to their proportions in the general population. These large committees are often constructed in an online fashion by contacting people, asking for the demographic features of…

Artificial Intelligence · Computer Science 2021-12-06 Virginie Do , Jamal Atif , Jérôme Lang , Nicolas Usunier

A minimum dominating set in a graph is a minimum set of vertices such that every vertex of the graph either belongs to it, or is adjacent to one vertex of this set. This mathematical object is of high relevance in a number of applications…

Artificial Intelligence · Computer Science 2018-08-30 Mayra Albuquerque , Thibaut Vidal

We study the committee selection problem in the canonical impartial culture model with a large number of voters and an even larger candidate set. Here, each voter independently reports a uniformly random preference order over the…

Computer Science and Game Theory · Computer Science 2026-02-05 Yifan Lin , Shenyu Qin , Kangning Wang , Lirong Xia

Mining cohesive subgraphs in attributed graphs is an essential problem in the domain of graph data analysis. The integration of fairness considerations significantly fuels interest in models and algorithms for mining fairness-aware cohesive…

Databases · Computer Science 2023-12-08 Qi Zhang , Rong-Hua Li , Zifan Zheng , Hongchao Qin , Ye Yuan , Guoren Wang

The problem of minimizing convex functionals of probability distributions is solved under the assumption that the density of every distribution is bounded from above and below. A system of sufficient and necessary first-order optimality…

Information Theory · Computer Science 2018-12-05 Michael Fauss , Abdelhak M. Zoubir

Given a set of agents with approval preferences over each other, we study the task of finding $k$ matchings fairly representing everyone's preferences. We model the problem as an approval-based multiwinner election where the set of…

Computer Science and Game Theory · Computer Science 2021-02-16 Niclas Boehmer , Markus Brill , Ulrike Schmidt-Kraepelin

When selecting multiple candidates based on approval preferences of agents, the proportional representation of agents' opinions is an important and well-studied desideratum. Existing criteria for evaluating the representativeness of…

Computer Science and Game Theory · Computer Science 2024-10-02 Markus Brill , Jonas Israel , Evi Micha , Jannik Peters

We consider the fair allocation of indivisible items to several agents with additional conflict constraints. These are represented by a conflict graph where each item corresponds to a vertex of the graph and edges in the graph represent…

Discrete Mathematics · Computer Science 2023-08-21 Nina Chiarelli , Matjaž Krnc , Martin Milanič , Ulrich Pferschy , Joachim Schauer

We study the problem of randomized Leader Election in synchronous distributed networks with indistinguishable nodes. We consider algorithms that work on networks of arbitrary topology in two settings, depending on whether the size of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-18 Dariusz R. Kowalski , Miguel A. Mosteiro

Binary decision making classifiers are not fair by default. Fairness requirements are an additional element to the decision making rationale, which is typically driven by maximizing some utility function. In that sense, algorithmic fairness…

Computers and Society · Computer Science 2022-06-07 Joachim Baumann , Anikó Hannák , Christoph Heitz

We study approval-based committee voting from a novel perspective. While extant work largely centers around proportional representation of the voters, we shift our focus to the candidates while preserving proportionality. Intuitively,…

Computer Science and Game Theory · Computer Science 2025-06-24 Gregory Kehne , Ulrike Schmidt-Kraepelin , Krzysztof Sornat

This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

Optimization and Control · Mathematics 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

Unlimited asynchronism is intolerable in real physically distributed computer systems. Such systems, synchronous or not, use clocks and timeouts. Therefore the magnitudes of elapsed absolute time in the system need to satisfy the axiom of…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-06-04 Paul M. B. Vitanyi

We study the complexity of deciding whether there is a tie in a given approval-based multiwinner election, as well as the complexity of counting tied winning committees. We consider a family of Thiele rules, their greedy variants,…

Computer Science and Game Theory · Computer Science 2023-05-04 Łukasz Janeczko , Piotr Faliszewski

We consider the following problem in which a given number of items has to be chosen from a predefined set. Each item is described by a vector of attributes and for each attribute there is a desired distribution that the selected set should…

Artificial Intelligence · Computer Science 2021-03-29 Jerome Lang , Piotr Skowron

The potential harms of algorithmic decisions have ignited algorithmic fairness as a central topic in computer science. One of the fundamental problems in computer science is Set Cover, which has numerous applications with societal impacts,…

Data Structures and Algorithms · Computer Science 2025-04-22 Mohsen Dehghankar , Rahul Raychaudhury , Stavros Sintos , Abolfazl Asudeh

Ranking algorithms are deployed widely to order a set of items in applications such as search engines, news feeds, and recommendation systems. Recent studies, however, have shown that, left unchecked, the output of ranking algorithms can…

Data Structures and Algorithms · Computer Science 2018-07-31 L. Elisa Celis , Damian Straszak , Nisheeth K. Vishnoi

We study a general class of bicriteria network design problems. A generic problem in this class is as follows: Given an undirected graph and two minimization objectives (under different cost functions), with a budget specified on the first,…

Computational Complexity · Computer Science 2019-08-17 Madhav V. Marathe , R. Ravi , Ravi Sundaram , S. S. Ravi , Daniel J. Rosenkrantz , Harry B. Hunt

In many covering settings, it is natural to consider the presence both of elements that we seek to include and of elements that we seek to avoid. This paper introduces a novel combinatorial problem formalizing this tradeoff: from a…

Data Structures and Algorithms · Computer Science 2025-12-01 Sophie Boileau , Andrew Hong , David Liben-Nowell , Alistair Pattison , Anna N. Rafferty , Charlie Roslansky