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Ranking the participants of a tournament has applications in voting, paired comparisons analysis, sports and other domains. In this paper we introduce bipartite tournaments, which model situations in which two different kinds of entity…

Multiagent Systems · Computer Science 2021-01-08 Joseph Singleton , Richard Booth

We study the computational complexity of the graph modification problems Threshold Editing and Chain Editing, adding and deleting as few edges as possible to transform the input into a threshold (or chain) graph. In this article, we show…

Data Structures and Algorithms · Computer Science 2015-05-05 Pål Grønås Drange , Markus Sortland Dregi , Daniel Lokshtanov , Blair D. Sullivan

In the Cluster Editing problem, sometimes known as (unweighted) Correlation Clustering, we must insert and delete a minimum number of edges to achieve a graph in which every connected component is a clique. Owing to its applications in…

Data Structures and Algorithms · Computer Science 2024-12-18 Manuel Lafond , Alitzel López Sánchez , Weidong Luo

The Cluster Editing problem seeks a transformation of a given undirected graph into a disjoint union of cliques via a minimum number of edge additions or deletions. A multi-parameterized version of the problem is studied, featuring a number…

Data Structures and Algorithms · Computer Science 2015-12-01 Faisal N. Abu-Khzam

We explore Cluster Editing and its generalization Correlation Clustering with a new operation called permissive vertex splitting which addresses finding overlapping clusters in the face of uncertain information. We determine that both…

Data Structures and Algorithms · Computer Science 2024-08-30 Matthias Bentert , Alex Crane , Pål Grønås Drange , Felix Reidl , Blair D. Sullivan

We introduce a dynamic version of the NP-hard graph problem Cluster Editing. The essential point here is to take into account dynamically evolving input graphs: Having a cluster graph (that is, a disjoint union of cliques) that represents a…

Discrete Mathematics · Computer Science 2018-12-12 Junjie Luo , Hendrik Molter , André Nichterlein , Rolf Niedermeier

We consider three important challenges in conference peer review: (i) reviewers maliciously attempting to get assigned to certain papers to provide positive reviews, possibly as part of quid-pro-quo arrangements with the authors; (ii)…

Artificial Intelligence · Computer Science 2020-10-27 Steven Jecmen , Hanrui Zhang , Ryan Liu , Nihar B. Shah , Vincent Conitzer , Fei Fang

Cluster Editing, also known as Correlation Clustering, is a well-studied graph modification problem. In this problem, one is given a graph and the task is to perform up to $k$ edge additions or deletions to transform it into a cluster…

The problem of assigning tasks to workers is of long-standing fundamental importance. Examples of this include the classical problem of assigning computing tasks to nodes in a distributed computing environment, assigning jobs to robots, and…

Computer Science and Game Theory · Computer Science 2018-05-03 Chen Hajaj , Yevgeniy Vorobeychik

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

This paper introduces a unified computational framework for the anonymization problem in social networks, where the objective is to maximize node anonymity through graph alterations. We define three variants of the underlying optimization…

Social and Information Networks · Computer Science 2026-04-14 Rachel G. de Jong , Mark P. J. van der Loo , Frank W. Takes

In this paper we consider the coupled task scheduling problem with exact delay times on a single machine with the objective of minimizing the total completion time of the jobs. We provide constant-factor approximation algorithms for several…

Optimization and Control · Mathematics 2024-05-03 David Fischer , Péter Györgyi

Correlation clustering seeks a partition of the vertex set of a given graph/network into groups of closely related, or just close enough, vertices so that elements of different groups are not close to each other. The problem has been…

Social and Information Networks · Computer Science 2024-12-05 Faisal N. Abu-Khzam , Lucas Isenmann , Sergio Thoumi

We consider the problem of selecting $k$ seed nodes in a network to maximize the minimum probability of activation under an independent cascade beginning at these seeds. The motivation is to promote fairness by ensuring that even the least…

Social and Information Networks · Computer Science 2025-02-20 Dennis Robert Windham , Caroline J. Wendt , Alex Crane , Madelyn J Warr , Freda Shi , Sorelle A. Friedler , Blair D. Sullivan , Aaron Clauset

The classic Cluster Editing problem (also known as Correlation Clustering) asks to transform a given graph into a disjoint union of cliques (clusters) by a small number of edge modifications. When applied to vertex-colored graphs (the…

Data Structures and Algorithms · Computer Science 2024-01-29 Vincent Froese , Leon Kellerhals , Rolf Niedermeier

A common problem in machine learning is to rank a set of n items based on pairwise comparisons. Here ranking refers to partitioning the items into sets of pre-specified sizes according to their scores, which includes identification of the…

Machine Learning · Computer Science 2018-01-08 Reinhard Heckel , Max Simchowitz , Kannan Ramchandran , Martin J. Wainwright

We study the computational problem of computing a fair means clustering of discrete vectors, which admits an equivalent formulation as editing a colored matrix into one with few distinct color-balanced rows by changing at most $k$ values.…

Data Structures and Algorithms · Computer Science 2025-12-04 Robert Ganian , Hung P. Hoang , Simon Wietheger

Block Sorting is a well studied problem, motivated by its applications in Optical Character Recognition (OCR), and Computational Biology. Block Sorting has been shown to be NP-Hard, and two separate polynomial time 2-approximation…

Computational Complexity · Computer Science 2011-10-06 N. S. Narayanaswamy , Swapnoneel Roy

The problem of publishing personal data without giving up privacy is becoming increasingly important. An interesting formalization that has been recently proposed is the $k$-anonymity. This approach requires that the rows of a table are…

Data Structures and Algorithms · Computer Science 2013-11-20 Stefano Beretta , Paola Bonizzoni , Gianluca Della Vedova , Riccardo Dondi , Yuri Pirola

The NP-hard maximum value preordering problem is both a joint relaxation and a hybrid of the clique partition problem (a clustering problem) and the partial ordering problem. Toward approximate solutions and lower bounds, we introduce a…

Machine Learning · Computer Science 2025-08-29 Jannik Irmai , Maximilian Moeller , Bjoern Andres
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