Δ-step**: a parallelizable shortest path algorithm

U Meyer, P Sanders - Journal of Algorithms, 2003 - Elsevier
The single source shortest path problem for arbitrary directed graphs with n nodes, m edges
and nonnegative edge weights can sequentially be solved using O (n· log n+ m) operations …

Julienne: A framework for parallel graph algorithms using work-efficient bucketing

L Dhulipala, G Blelloch, J Shun - … of the 29th ACM Symposium on …, 2017 - dl.acm.org
Existing graph-processing frameworks let users develop efficient implementations for many
graph problems, but none of them support efficiently bucketing vertices, which is needed for …

A parallelization of Dijkstra's shortest path algorithm

A Crauser, K Mehlhorn, U Meyer, P Sanders - … Foundations of Computer …, 1998 - Springer
The single source shortest path (SSSP) problem lacks parallel solutions which are fast and
simultaneously work-efficient. We propose simple criteria which divide Dijkstra's sequential …

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 …

The spraylist: A scalable relaxed priority queue

D Alistarh, J Kopinsky, J Li, N Shavit - Proceedings of the 20th ACM …, 2015 - dl.acm.org
High-performance concurrent priority queues are essential for applications such as task
scheduling and discrete event simulation. Unfortunately, even the best performing …

[BOG][B] Sequential and Parallel Algorithms and Data Structures

viii Preface reason for this change is that sequential processors have ceased to get
proportional performance improvements from increased circuit complexity. Although the …

A faster distributed single-source shortest paths algorithm

S Forster, D Nanongkai - 2018 IEEE 59th Annual Symposium …, 2018 - ieeexplore.ieee.org
We devise new algorithms for the single-source shortest paths (SSSP) problem with non-
negative edge weights in the CONGEST model of distributed computing. While close-to …

Near-optimal approximate shortest paths and transshipment in distributed and streaming models

R Becker, S Forster, A Karrenbauer… - ar** : A Parallel Single Source Shortest Path Algorithm
U Meyer, P Sanders - European symposium on algorithms, 1998 - Springer
In spite of intensive research, little progress has been made towards fast and work-efficient
parallel algorithms for the single source shortest path problem. Our Δ-step** algorithm, a …

An experimental study of a parallel shortest path algorithm for solving large-scale graph instances

K Madduri, DA Bader, JW Berry, JR Crobak - 2007 Proceedings of the Ninth …, 2007 - SIAM
We present an experimental study of the single source shortest path problem with non-
negative edge weights (NSSP) on large-scale graphs using the Δ-step** parallel …