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20222026
most citedFinding Near-Optimal Weight Independent Sets at Scale

2 citations · 2 across the 14 of their papers we have counts for

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Showing 2024Show all

6 papers · 1 filter

math.OC2024

Accelerating Reductions Using Graph Neural Networks and a New Concurrent Local Search for the Maximum Weight Independent Set Problem

Ernestine Großmann, Kenneth Langedal, Christian Schulz

The Maximum Weight Independent Set problem is a fundamental NP-hard problem in combinatorial optimization with several real-world applications. Given an undirected vertex-weighted…

cs.DS2024

A Comprehensive Survey of Data Reduction Rules for the Maximum Weighted Independent Set Problem

Ernestine Großmann, Kenneth Langedal, Christian Schulz

The Maximum Weight Independent Set (MWIS) problem, as well as its related problems such as Minimum Weight Vertex Cover, are fundamental NP-hard problems with numerous practical app…

cs.DS2024

Engineering Hypergraph -Matching Algorithms

Ernestine Großmann, Felix Joos, Henrik Reinstädtler +1

Recently, researchers have extended the concept of matchings to the more general problem of finding -matchings in hypergraphs broadening the scope of potential applications and…

cs.DS2024

Engineering Fully Dynamic Exact -Orientation Algorithms

Ernestine Großmann, Henrik Reinstädtler, Christian Schulz +1

A (fully) dynamic graph algorithm is a data structure that supports edge insertions, edge deletions, and answers specific queries pertinent to the problem at hand. In this work, we…

cs.DS2024

Optimal Neighborhood Exploration for Dynamic Independent Sets

Jannick Borowitz, Ernestine Großmann, Christian Schulz

A dynamic graph algorithm is a data structure that supports edge insertions, deletions, and specific problem queries. While extensive research exists on dynamic algorithms for grap…

cs.DS2024

Engineering Weighted Connectivity Augmentation Algorithms

Marcelo Fonseca Faraj, Ernestine Großmann, Felix Joos +2

Increasing the connectivity of a graph is a pivotal challenge in robust network design. The weighted connectivity augmentation problem is a common version of the problem that takes…