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20092026
most citedUnifying and Strengthening Hardness for Dynamic Problems via the Online Matrix-Vector Multiplication Conjecture

215 citations · 792 across the 83 of their papers we have counts for

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cs.DS2026

Incremental Exact Vertex Connectivity

Felix Adena, Monika Henzinger, Christoph Kern +1

We study the problem of maintaining the vertex connectivity of a graph under edge insertions. For undirected graphs, our algorithm uses amortized time per edg…

cs.DS2025

Fully Dynamic Approximate Minimum Cut in Subpolynomial Time per Operation

Antoine El-Hayek, Monika Henzinger, Jason Li

Dynamically maintaining the minimum cut in a graph under edge insertions and deletions is a fundamental problem in dynamic graph algorithms for which no conditional lower bound…

cs.DS2024

Deterministic Near-Linear Time Minimum Cut in Weighted Graphs

Monika Henzinger, Jason Li, Satish Rao +1

In 1996, Karger [Kar96] gave a startling randomized algorithm that finds a minimum-cut in a (weighted) graph in time which he termed near-linear time meaning linear (…

cs.DS2023

On -Matching and Fully-Dynamic Maximum -Edge Coloring

Antoine El-Hayek, Kathrin Hanauer, Monika Henzinger

Given a graph that is modified by a sequence of edge insertions and deletions, we study the Maximum -Edge Coloring problem Having access to colors, how can we color as m…

cs.DS2023

Differential Privacy for Clustering Under Continual Observation

Max Dupré la Tour, Monika Henzinger, David Saulpic

We consider the problem of clustering privately a dataset in that undergoes both insertion and deletion of points. Specifically, we give an -differentia…

cs.DS2023

On the Complexity of Algorithms with Predictions for Dynamic Graph Problems

Monika Henzinger, Barna Saha, Martin P. Seybold +1

{\em Algorithms with predictions} incorporate machine learning predictions into algorithm design. A plethora of recent works incorporated predictions to improve on worst-case optim…