21 citations · 75 across the 21 of their papers we have counts for
18 papers · 1 filter
Fully Scalable MPC Algorithms for Clustering in High Dimension
Artur Czumaj, Guichen Gao, Shaofeng H. -C. Jiang +2
We design new parallel algorithms for clustering in high-dimensional Euclidean spaces. These algorithms run in the Massively Parallel Computation (MPC) model, and are fully scalabl…
Optimal (degree+1)-Coloring in Congested Clique
Sam Coy, Artur Czumaj, Peter Davies +1
We consider the distributed complexity of the (degree+1)-list coloring problem, in which each node of degree is assigned a palette of colors, and the goal is to…
On Parallel -Center Clustering
Sam Coy, Artur Czumaj, Gopinath Mishra
We consider the classic -center problem {in the constant dimensional Euclidean space} under a parallel setting, on the low-local-space Massively Parallel Computation (MPC) model…
Parallel Derandomization for Coloring
Sam Coy, Artur Czumaj, Peter Davies +1
Graph coloring problems are among the most fundamental problems in parallel and distributed computing, and have been studied extensively in both settings. In this context, designin…
Streaming Facility Location in High Dimension via Geometric Hashing
Artur Czumaj, Arnold Filtser, Shaofeng H. -C. Jiang +3
In Euclidean Uniform Facility Location (UFL), the input is a set of clients in and the goal is to place facilities to serve them, so as to minimize the total cost of…
Deterministic Massively Parallel Connectivity
Sam Coy, Artur Czumaj
We consider the problem of designing fundamental graph algorithms on the model of Massive Parallel Computation (MPC). The input to the problem is an undirected graph with v…
Component Stability in Low-Space Massively Parallel Computation
Artur Czumaj, Peter Davies, Merav Parter
We study the power and limitations of component-stable algorithms in the low-space model of Massively Parallel Computation (MPC). Recently Ghaffari, Kuhn and Uitto (FOCS 2019) intr…
Streaming Algorithms for Geometric Steiner Forest
Artur Czumaj, Shaofeng H. -C. Jiang, Robert Krauthgamer +1
We consider an important generalization of the Steiner tree problem, the \emph{Steiner forest problem}, in the Euclidean plane: the input is a multiset ,…
Simple, Deterministic, Constant-Round Coloring in the Congested Clique
Artur Czumaj, Peter Davies, Merav Parter
We settle the complexity of the -coloring and -list coloring problems in the CONGESTED CLIQUE model by presenting a simple deterministic algorithm for both problems r…
Graph Sparsification for Derandomizing Massively Parallel Computation with Low Space
Artur Czumaj, Peter Davies, Merav Parter
The Massively Parallel Computation (MPC) model is an emerging model which distills core aspects of distributed and parallel computation. It has been developed as a tool to solve (t…
A characterization of graph properties testable for general planar graphs with one-sided error (It is all about forbidden subgraphs)
Artur Czumaj, Christian Sohler
The problem of characterizing testable graph properties (properties that can be tested with a number of queries independent of the input size) is a fundamental problem in the area…
Testable Properties in General Graphs and Random Order Streaming
Artur Czumaj, Hendrik Fichtenberger, Pan Peng +1
We present a novel framework closely linking the areas of property testing and data streaming algorithms in the setting of general graphs. It has been recently shown (Monemizadeh e…
Online Facility Location with Deletions
Marek Cygan, Artur Czumaj, Marcin Mucha +1
In this paper we study three previously unstudied variants of the online Facility Location problem, considering an intrinsic scenario when the clients and facilities are not only a…
Round Compression for Parallel Matching Algorithms
Artur Czumaj, Jakub Łącki, Aleksander Mądry +3
For over a decade now we have been witnessing the success of {\em massive parallel computation} (MPC) frameworks, such as MapReduce, Hadoop, Dryad, or Spark. One of the reasons for…
Testing Cluster Structure of Graphs
Artur Czumaj, Pan Peng, Christian Sohler
We study the problem of recognizing the cluster structure of a graph in the framework of property testing in the bounded degree model. Given a parameter , a -bounde…
Planar Graphs: Random Walks and Bipartiteness Testing
Artur Czumaj, Morteza Monemizadeh, Krzysztof Onak +1
We initiate the study of property testing in arbitrary planar graphs. We prove that bipartiteness can be tested in constant time, improving on the previous bound of $\tilde{O}(\sqr…
Finding Cycles and Trees in Sublinear Time
Artur Czumaj, Oded Goldreich, Dana Ron +3
We present sublinear-time (randomized) algorithms for finding simple cycles of length at least and tree-minors in bounded-degree graphs. The complexity of these algorithm…
PTAS for k-tour cover problem on the plane for moderately large values of k
Anna Adamaszek, Artur Czumaj, Andrzej Lingas
Let P be a set of n points in the Euclidean plane and let O be the origin point in the plane. In the k-tour cover problem (called frequently the capacitated vehicle routing problem…