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This paper investigates why and when the edge-based districting problem becomes computationally intractable. The overall problem is represented as an exact mathematical programming formulation consisting of an objective function and several…

Discrete Mathematics · Computer Science 2025-10-30 Niklas Jost , Adolfo Escobedo , Alice Kirchheim

Given a predicate $P: \{-1, 1\}^k \to \{-1, 1\}$, let $CSP(P)$ be the set of constraint satisfaction problems whose constraints are of the form $P$. We say that $P$ is approximable if given a nearly satisfiable instance of $CSP(P)$, there…

Computational Complexity · Computer Science 2020-04-28 Neng Huang , Aaron Potechin

In this work, we study diversity-aware clustering problems where the data points are associated with multiple attributes resulting in intersecting groups. A clustering solution needs to ensure that the number of chosen cluster centers from…

Data Structures and Algorithms · Computer Science 2025-05-21 Suhas Thejaswi , Ameet Gadekar , Bruno Ordozgoiti , Aristides Gionis

We study probabilistic single-item second-price auctions where the item is characterized by a set of attributes. The auctioneer knows the actual instantiation of all the attributes, but he may choose to reveal only a subset of these…

Computer Science and Game Theory · Computer Science 2013-02-22 Mingyu Guo , Argyrios Deligkas

Capacitated Vertex Cover is the hard-capacitated variant of Vertex Cover: given a graph, a capacity for every vertex, and an integer $k$, the task is to select at most $k$ vertices that cover all edges and assign each edge to one of its…

Data Structures and Algorithms · Computer Science 2026-04-22 Michael Lampis , Manolis Vasilakis

We study the computational complexity of bribery in parliamentary voting, in settings where the briber is (also) interested in the success of an entire set of political parties - a ``coalition'' - rather than an individual party. We…

Computer Science and Game Theory · Computer Science 2025-03-20 Hodaya Barr , Yonatan Aumann , Sarit Kraus

We introduce and analyze an extension to the matching problem on a weighted bipartite graph: Assignment with Type Constraints. The two parts of the graph are partitioned into subsets called types and blocks; we seek a matching with the…

Artificial Intelligence · Computer Science 2020-10-06 Nawal Benabbou , Mithun Chakraborty , Vinh Ho Xuan , Jakub Sliwinski , Yair Zick

Algorithms with predictions is a recent framework for decision-making under uncertainty that leverages the power of machine-learned predictions without making any assumption about their quality. The goal in this framework is for algorithms…

Machine Learning · Computer Science 2025-01-22 Eric Balkanski , Will Ma , Andreas Maggiori

We consider the robust version of items selection problem, in which the goal is to choose representatives from a family of sets, preserving constraints on the allowed items' combinations. We prove NP-hardness of the deterministic version,…

Discrete Mathematics · Computer Science 2019-07-23 Maciej Drwal

The efficient computation of large matchings with desirable guarantees is a crucial objective in market design. However, even in simple two-sided matching markets with weak ordinal preferences, finding a maximum-size stable matching is…

Computer Science and Game Theory · Computer Science 2026-02-26 Gergely Csáji , Frederik Glitzner

The problem of lifting a preference order on a set of objects to a preference order on a family of subsets of this set is a fundamental problem with a wide variety of applications in AI. The process is often guided by axioms postulating…

Computer Science and Game Theory · Computer Science 2022-01-04 Jan Maly

Consider a hiring process with candidates coming from different universities. It is easy to order candidates with the same background, yet it can be challenging to compare them otherwise. The latter case requires additional costly…

Computer Science and Game Theory · Computer Science 2024-11-19 Ziyad Benomar , Evgenii Chzhen , Nicolas Schreuder , Vianney Perchet

A preference profile is single-peaked on a tree if the candidate set can be equipped with a tree structure so that the preferences of each voter are decreasing from their top candidate along all paths in the tree. This notion was introduced…

Computer Science and Game Theory · Computer Science 2022-01-24 Dominik Peters , Lan Yu , Hau Chan , Edith Elkind

The problem of maximizing the $p$-th power of a $p$-norm over a halfspace-presented polytope in $\R^d$ is a convex maximization problem which plays a fundamental role in computational convexity. It has been shown in 1986 that this problem…

Computational Complexity · Computer Science 2013-07-25 Christian Knauer , Stefan König , Daniel Werner

A workflow specification defines a set of steps and the order in which those steps must be executed. Security requirements may impose constraints on which groups of users are permitted to perform subsets of those steps. A workflow…

Cryptography and Security · Computer Science 2013-01-10 Jason Crampton , Gregory Gutin , Anders Yeo

Personnel scheduling problems have received considerable academic attention due to their relevance in various real-world applications. These problems involve preparing feasible schedules for an organization's employees and often account for…

Data Structures and Algorithms · Computer Science 2025-09-03 Fabien Nießen , Paul Paschmanns

We study various generalizations of the secretary problem with submodular objective functions. Generally, a set of requests is revealed step-by-step to an algorithm in random order. For each request, one option has to be selected so as to…

Data Structures and Algorithms · Computer Science 2016-08-01 Thomas Kesselheim , Andreas Tönnis

A long line of literature has focused on the problem of selecting a team of individuals from a large pool of candidates, such that certain constraints are respected, and a given objective function is maximized. Even though extant research…

Social and Information Networks · Computer Science 2019-05-09 Sanaz Bahargam , Theodoros Lappas , Evimaria Terzi

We consider the Consensus Patterns problem, where, given a set of input strings, one is asked to extract a long-enough pattern which appears (with some errors) in all strings. We prove that this problem is W[1]-hard when parameterized by…

Computational Complexity · Computer Science 2017-02-28 Laurent Bulteau

A recently introduced restricted variant of the multidimensional stable roommate problem is the roommate diversity problem: each agent belongs to one of two types (e.g., red and blue), and the agents' preferences over the coalitions solely…

Computer Science and Game Theory · Computer Science 2023-01-06 Steven Ge , Toshiya Itoh
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