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The node-averaged complexity of a problem captures the number of rounds nodes of a graph have to spend on average to solve the problem in the LOCAL model. A challenging line of research with regards to this new complexity measure is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-03 Alkida Balliu , Sebastian Brandt , Fabian Kuhn , Dennis Olivetti , Gustav Schmid

Fixed parameter tractable algorithms for bounded treewidth are known to exist for a wide class of graph optimization problems. While most research in this area has been focused on exact algorithms, it is hard to find decompositions of…

Data Structures and Algorithms · Computer Science 2016-10-05 Thomas Bosman

A rich line of work has been addressing the computational complexity of locally checkable labelings (LCLs), illustrating the landscape of possible complexities. In this paper, we study the landscape of LCL complexities under bandwidth…

Data Structures and Algorithms · Computer Science 2021-05-18 Alkida Balliu , Keren Censor-Hillel , Yannic Maus , Dennis Olivetti , Jukka Suomela

Designing a search heuristic for constraint programming that is reliable across problem domains has been an important research topic in recent years. This paper concentrates on one family of candidates: counting-based search. Such…

Artificial Intelligence · Computer Science 2014-01-21 Gilles Pesant , Claude-Guy Quimper , Alessandro Zanarini

Parameterized complexity enables the practical solution of generally intractable NP-hard problems when certain parameters are small, making it particularly useful in real-world applications. The study of string problems in this framework…

Quantum Physics · Physics 2025-10-20 Josh Cudby , Sergii Strelchuk

Preference analysis is widely applied in various domains such as social choice and e-commerce. A recently proposed framework augments the relational database with a preference relation that represents uncertain preferences in the form of…

Databases · Computer Science 2020-03-17 Haoyue Ping , Julia Stoyanovich , Benny Kimelfeld

In this paper, we consider first-order logic over unary functions and study the complexity of the evaluation problem for conjunctive queries described by such kind of formulas. A natural notion of query acyclicity for this language is…

Logic in Computer Science · Computer Science 2007-05-23 Arnaud Durand , Etienne Grandjean

We obtain new parameterized algorithms for the classical problem of determining whether a directed acyclic graph admits an upward planar drawing. Our results include a new fixed-parameter algorithm parameterized by the number of sources, an…

Computational Geometry · Computer Science 2022-03-11 Steven Chaplick , Emilio Di Giacomo , Fabrizio Frati , Robert Ganian , Chrysanthi N. Raftopoulou , Kirill Simonov

The need for an ontological layer on top of data, associated with advanced reasoning mechanisms able to exploit the semantics encoded in ontologies, has been acknowledged both in the database and knowledge representation communities. We…

Artificial Intelligence · Computer Science 2014-12-16 Sebastian Rudolph , Michaël Thomazo , Jean-François Baget , Marie-Laure Mugnier

Graph Isomorphism is the prime example of a computational problem with a wide difference between the best known lower and upper bounds on its complexity. We bridge this gap for a natural and important special case, planar graph isomorphism,…

Computational Complexity · Computer Science 2009-01-30 Samir Datta , Nutan Limaye , Prajakta Nimbhorkar , Thomas Thierauf , Fabian Wagner

We consider the {\em Capacitated Domination} problem, which models a service-requirement assignment scenario and is also a generalization of the well-known {\em Dominating Set} problem. In this problem, given a graph with three parameters…

Discrete Mathematics · Computer Science 2015-05-18 Mong-Jen Kao , Han-Lin Chen

We consider the problem of computing bounds for causal queries on causal graphs with unobserved confounders and discrete valued observed variables, where identifiability does not hold. Existing non-parametric approaches for computing such…

Machine Learning · Computer Science 2023-08-08 Madhumitha Shridharan , Garud Iyengar

We investigate the complexity of the separation problem associated to classes of regular languages. For a class C, C-separation takes two regular languages as input and asks whether there exists a third language in C which includes the…

Formal Languages and Automata Theory · Computer Science 2018-10-23 Thomas Place , Marc Zeitoun

We show that CSP is fixed-parameter tractable when parameterized by the treewidth of a backdoor into any tractable CSP problem over a finite constraint language. This result combines the two prominent approaches for achieving tractability…

Data Structures and Algorithms · Computer Science 2016-10-12 Robert Ganian , M. S. Ramanujan , Stefan Szeider

We study the problem of enumerating answers of Conjunctive Queries ranked according to a given ranking function. Our main contribution is a novel algorithm with small preprocessing time, logarithmic delay, and non-trivial space usage during…

Databases · Computer Science 2025-05-21 Shaleen Deep , Paraschos Koutris

This chapter compiles a number of results that apply the theory of parameterized algorithmics to the running-time analysis of randomized search heuristics such as evolutionary algorithms. The parameterized approach articulates the running…

Neural and Evolutionary Computing · Computer Science 2020-01-16 Frank Neumann , Andrew M. Sutton

In this paper, we consider counting and projected model counting of extensions in abstract argumentation for various semantics. When asking for projected counts we are interested in counting the number of extensions of a given argumentation…

Artificial Intelligence · Computer Science 2018-11-29 Johannes K. Fichte , Markus Hecher , Arne Meier

The propositional planning problem is a notoriously difficult computational problem, which remains hard even under strong syntactical and structural restrictions. Given its difficulty it becomes natural to study planning in the context of…

Artificial Intelligence · Computer Science 2013-10-30 Christer Baeckstroem , Peter Jonsson , Sebastian Ordyniak , Stefan Szeider

We study the generalization of Correlation Clustering which incorporates fairness constraints via the notion of fairlets. The corresponding Fair Correlation Clustering problem has been studied from several perspectives to date, but has so…

Data Structures and Algorithms · Computer Science 2026-02-18 Johannes Blaha , Robert Ganian , Katharina Gillig , Jonathan S. Højlev , Simon Wietheger

In this work we start the investigation of tight complexity bounds for connectivity problems parameterized by cutwidth assuming the Strong Exponential-Time Hypothesis (SETH). Van Geffen et al. posed this question for odd cycle transversal…

Data Structures and Algorithms · Computer Science 2022-12-26 Narek Bojikian , Vera Chekan , Falko Hegerfeld , Stefan Kratsch