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 …

An Efficient Branch-and-Bound Solver for Hitting Set∗

T Bläsius, T Friedrich, D Stangl, C Weyand - 2022 Proceedings of the …, 2022 - SIAM
The hitting set problem asks for a collection of sets over a universe U to find a minimum
subset of U that intersects each of the given sets. It is NP-hard and equivalent to the problem …

An improved kernelization algorithm for trivially perfect editing

M Dumas, A Perez - arxiv preprint arxiv:2306.16899, 2023 - arxiv.org
In the Trivially Perfect Editing problem one is given an undirected graph $ G=(V, E) $ and an
integer $ k $ and seeks to add or delete at most $ k $ edges in $ G $ to obtain a trivially …

[PDF][PDF] Skeleton-Based Clustering by Quasi-Threshold Editing.

U Brandes, M Hamann, L Häuser, D Wagner - 2022 - library.oapen.org
We consider the problem of transforming a given graph into a quasithreshold graph using a
minimum number of edge additions and deletions. Building on the previously proposed …

[PDF][PDF] Parallel and Flow-Based High Quality Hypergraph Partitioning

L Gottesbüren - 2023 - core.ac.uk
Balanced hypergraph partitioning is a classic NP-hard optimization problem that is a
fundamental tool in such diverse disciplines as VLSI circuit design, route planning, sharding …

PACE solver description: The KaPoCE exact cluster editing algorithm

T Bläsius, P Fischbeck, L Gottesbüren… - 16th International …, 2021 - drops.dagstuhl.de
The cluster editing problem is to transform an input graph into a cluster graph by performing
a minimum number of edge editing operations. A cluster graph is a graph where each …

[PDF][PDF] Scalable Community Detection

M Hamann - 2021 - scholar.archive.org
A graph consists of objects, called nodes, that are connected by edges. These connections
may have a certain strength or a direction. Graphs can be used in a lot of contexts where …

Modification et couverture de graphes: Approches paramétrées

M Dumas - 2023 - theses.hal.science
Cette thèse traite de problèmes de modification d'arêtes et de couverture de graphes par
des plus courts chemins dans le cadre de la complexité paramétrée. Dans un problème de …

[PDF][PDF] Engineering Heuristic Quasi-Threshold Editing

D Schmitt - 2021 - i11www.iti.kit.edu
We introduce an algorithm that solves the quasi-threshold graph editing problem. The
problem is defined as removing and inserting edges in a graph to reach a quasi-threshold …

Engineering Fixed Parameter Algorithms for the Cluster Editing Problem

T Reunanen - 2022 - aaltodoc.aalto.fi
Cluster Editing is the problem of finding the minimum number of edge modifications that
transform a given graph into a disjoint union of cliques. This is equivalent to finding optimal …