most citedk-means++: few more steps yield constant approximation

5 citations · 5 across the 2 of their papers we have counts for

collaborators

5 papers

cs.DS2020

Improved Deterministic Network Decomposition

Mohsen Ghaffari, Christoph Grunau, Václav Rozhoň

Network decomposition is a central tool in distributed graph algorithms. We present two improvements on the state of the art for network decomposition, which thus lead to improveme…

cs.DS2020

Generalizing the Sharp Threshold Phenomenon for the Distributed Complexity of the Lovász Local Lemma

Sebastian Brandt, Christoph Grunau, Václav Rozhoň

Recently, Brandt, Maus and Uitto [PODC'19] showed that, in a restricted setting, the dependency of the complexity of the distributed Lovász Local Lemma (LLL) on the chosen LLL crit…

cs.DS20205 cited

k-means++: few more steps yield constant approximation

Davin Choo, Christoph Grunau, Julian Portmann +1

The k-means++ algorithm of Arthur and Vassilvitskii (SODA 2007) is a state-of-the-art algorithm for solving the k-means clustering problem and is known to give an O(log k)-approxim…

cs.DC2020

Improved MPC Algorithms for MIS, Matching, and Coloring on Trees and Beyond

Mohsen Ghaffari, Christoph Grunau, Ce Jin

We present round scalable Massively Parallel Computation algorithms for maximal independent set and maximal matching, in trees and more generally graphs of bounded…

cs.DS2019

Improved Local Computation Algorithm for Set Cover via Sparsification

Christoph Grunau, Slobodan Mitrović, Ronitt Rubinfeld +1

We design a Local Computation Algorithm (LCA) for the set cover problem. Given a set system where each set has size at most and each element is contained in at most sets, t…