Recent advances in fully dynamic graph algorithms–a quick reference guide

K Hanauer, M Henzinger, C Schulz - ACM Journal of Experimental …, 2022 - dl.acm.org
In recent years, significant advances have been made in the design and analysis of fully
dynamic algorithms. However, these theoretical results have received very little attention …

Recent advances in fully dynamic graph algorithms

K Hanauer, M Henzinger, C Schulz - arxiv preprint arxiv:2102.11169, 2021 - arxiv.org
In recent years, significant advances have been made in the design and analysis of fully
dynamic algorithms. However, these theoretical results have received very little attention …

Time-varying semidefinite programming: Path following a burer–monteiro factorization

A Bellon, M Dressler, V Kungurtsev, J Mareček… - SIAM Journal on …, 2024 - SIAM
We present an online algorithm for time-varying semidefinite programs (TV-SDPs), based on
the tracking of the solution trajectory of a low-rank matrix factorization, also known as the …

Engineering Fully Dynamic Δ-Orientation Algorithms

J Borowitz, E Großmann, C Schulz - SIAM Conference on Applied and …, 2023 - SIAM
A (fully) dynamic graph algorithm is a data structure that supports edge insertions, edge
deletions, and answers certain queries that are specific to the problem under consideration …

Applying a cut-based data reduction rule for weighted cluster editing in polynomial time

H Schulz, A Nichterlein, R Niedermeier… - … on parameterized and …, 2022 - drops.dagstuhl.de
Given an undirected graph, the task in Cluster Editing is to insert and delete a minimum
number of edges to obtain a cluster graph, that is, a disjoint union of cliques. In the weighted …

Optimal Neighborhood Exploration for Dynamic Independent Sets

J Borowitz, E Großmann, C Schulz - 2025 Proceedings of the Symposium on …, 2025 - SIAM
A dynamic graph algorithm is a data structure that supports edge insertions, deletions, and
problem specific queries. While extensive research exists on dynamic algorithms for graph …

Engineering Fully Dynamic Exact -Orientation Algorithms

E Großmann, H Reinstädtler, C Schulz… - 2025 Proceedings of the …, 2025 - SIAM
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 …

Engineering Fully Dynamic Exact -Orientation Algorithms

E Großmann, H Reinstädtler, C Schulz… - arxiv preprint arxiv …, 2024 - arxiv.org
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 …

Engineering Weighted Connectivity Augmentation Algorithms

MF Faraj, E Großmann, F Joos, T Möller… - arxiv preprint arxiv …, 2024 - arxiv.org
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 …

Stable and Dynamic Minimum Cuts

M de Berg, A López Martínez, F Spieksma - International Conference and …, 2024 - Springer
We consider the problems of maintaining exact minimum cuts and-approximate cuts in
dynamic graphs under the vertex-arrival model. We investigate the trade-off between the …