activity
20182022
most citedk-means++: few more steps yield constant approximation

5 citations · 8 across the 7 of their papers we have counts for

collaborators

12 papers

cs.DS20221 cited

Parallel Breadth-First Search and Exact Shortest Paths and Stronger Notions for Approximate Distances

Václav Rozhoň, Bernhard Haeupler, Anders Martinsson +2

We introduce stronger notions for approximate single-source shortest-path distances, show how to efficiently compute them from weaker standard notions, and demonstrate the algorith…

cs.DS2022

A Simple Deterministic Distributed Low-Diameter Clustering

Václav Rozhoň, Bernhard Haeupler, Christoph Grunau

We give a simple, local process for nodes in an undirected graph to form non-adjacent clusters that (1) have at most a polylogarithmic diameter and (2) contain at least half of all…

cs.DS20221 cited

Improved Distributed Network Decomposition, Hitting Sets, and Spanners, via Derandomization

Mohsen Ghaffari, Christoph Grunau, Bernhard Haeupler +2

This paper presents significantly improved deterministic algorithms for some of the key problems in the area of distributed graph algorithms, including network decomposition, hitti…

cs.DS20221 cited

Local Distributed Rounding: Generalized to MIS, Matching, Set Cover, and Beyond

Salwa Faour, Mohsen Ghaffari, Christoph Grunau +2

We develop a general deterministic distributed method for locally rounding fractional solutions of graph problems for which the analysis can be broken down into analyzing pairs of…

math.CO2021

Classification of Local Problems on Paths from the Perspective of Descriptive Combinatorics

Jan Grebík, Václav Rozhoň

We classify which local problems with inputs on oriented paths have so-called Borel solution and show that this class of problems remains the same if we instead require a measurabl…

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…