A branch-and-bound algorithm for cluster editing

T Bläsius, P Fischbeck, L Gottesbüren… - 20th International …, 2022 - drops.dagstuhl.de
The cluster editing problem asks to transform a given graph into a disjoint union of cliques
by inserting and deleting as few edges as possible. We describe and evaluate an exact …

Correlating Theory and Practice in Finding Clubs and Plexes

A Figiel, T Koana, A Nichterlein, N Wünsche - arXiv preprint arXiv …, 2022 - arxiv.org
Finding large" cliquish" subgraphs is a classic NP-hard graph problem. In this work, we
focus on finding maximum $ s $-clubs and $ s $-plexes, ie, graphs of diameter $ s $ and …

Partitioning the Bags of a Tree Decomposition into Cliques

T Bläsius, M Katzmann, M Wilhelm - arXiv preprint arXiv:2302.08870, 2023 - arxiv.org
We consider a variant of treewidth that we call clique-partitioned treewidth in which each
bag is partitioned into cliques. This is motivated by the recent development of FPT …

Reasoning and inference for (Maximum) satisfiability: new insights

MS Cherif - 2022 - theses.hal.science
At the heart of computer science and artificial intelligence, logic is often used as a powerful
language to model and solve complex problems that arise in academia and in real-world …

[PDF][PDF] Theoretical Study of Data Reduction in Real-World Hitting Set Instances

M Wunderlich - 2024 - scale.iti.kit.edu
Finding a minimum HittingSet is a fundamental optimization problem on hypergraphs.
Despite being NP-complete and even𝑊 [2]-complete (if parametrized by solution size), many …

[PDF][PDF] Solving Power Dominating Set with Branch and Bound

J Lutzweiler - scale.iti.kit.edu
Power dominating set is a graph problem that asks for the smallest subset of vertices that
can observe all vertices. Observation is defined by two rules. The first one states that all …

[引用][C] Geometric Inhomogeneous Random Graphs for Algorithm Engineering

C Weyand - 2023 - Karlsruhe Institute of Technology …