Parallel approximate undirected shortest paths via low hop emulators

A Andoni, C Stein, P Zhong - Proceedings of the 52nd Annual ACM …, 2020 - dl.acm.org
We present a (1+ ε)-approximate parallel algorithm for computing shortest paths in
undirected graphs, achieving poly (log n) depth and m poly (log n) work for n-nodes m …

MST in O(1) Rounds of Congested Clique

T Jurdziński, K Nowicki - Proceedings of the Twenty-Ninth Annual ACM-SIAM …, 2018 - SIAM
We present a distributed randomized algorithm finding Minimum Spanning Tree (MST) of a
given graph in O (1) rounds, with high probability, in the congested clique model. The input …

Shuffles and circuits (on lower bounds for modern parallel computation)

T Roughgarden, S Vassilvitskii, JR Wang - Journal of the ACM (JACM), 2018 - dl.acm.org
The goal of this article is to identify fundamental limitations on how efficiently algorithms
implemented on platforms such as MapReduce and Hadoop can compute the central …

The distributed minimum spanning tree problem

G Pandurangan, P Robinson, M Scquizzato - Bulletin of EATCS, 2018 - bulletin.eatcs.org
The Distributed Computing Column Page 1 The Distributed Computing Column by Stefan
Schmid Faculty of Computer Science, University of Vienna Währinger Strasse 29, AT - 1090 …

Toward optimal bounds in the congested clique: Graph connectivity and MST

JW Hegeman, G Pandurangan… - Proceedings of the …, 2015 - dl.acm.org
We study two fundamental graph problems, Graph Connectivity (GC) and Minimum
Spanning Tree (MST), in the well-studied Congested Clique model, and present several …

MST in log-star rounds of congested clique

M Ghaffari, M Parter - Proceedings of the 2016 ACM Symposium on …, 2016 - dl.acm.org
We present a randomized algorithm that computes a Minimum Spanning Tree (MST) in O
(log* n) rounds, with high probability, in the Congested Clique model of distributed …

On sketching quadratic forms

A Andoni, J Chen, R Krauthgamer, B Qin… - Proceedings of the …, 2016 - dl.acm.org
We undertake a systematic study of sketching a quadratic form: given an nxn matrix A, create
a succinct sketch sk (A) which can produce (without further access to A) a multiplicative (1+ …

A time-and message-optimal distributed algorithm for minimum spanning trees

G Pandurangan, P Robinson… - Proceedings of the 49th …, 2017 - dl.acm.org
This paper presents a randomized (Las Vegas) distributed algorithm that constructs a
minimum spanning tree (MST) in weighted networks with optimal (up to polylogarithmic …

Worst-case optimal algorithms for parallel query processing

P Koutris, P Beame, D Suciu - 19th International Conference on …, 2016 - drops.dagstuhl.de
In this paper, we study the communication complexity for the problem of computing a
conjunctive query on a large database in a parallel setting with p servers. In contrast to …

Survey of distributed decision

L Feuilloley, P Fraigniaud - arXiv preprint arXiv:1606.04434, 2016 - arxiv.org
We survey the recent distributed computing literature on checking whether a given
distributed system configuration satisfies a given boolean predicate, ie, whether the …