A survey of distributed graph algorithms on massive graphs

L Meng, Y Shao, L Yuan, L Lai, P Cheng, X Li… - ACM Computing …, 2024 - dl.acm.org
Distributed processing of large-scale graph data has many practical applications and has
been widely studied. In recent years, a lot of distributed graph processing frameworks and …

A deterministic almost-linear time algorithm for minimum-cost flow

J Van Den Brand, L Chen, R Kyng… - 2023 IEEE 64th …, 2023 - ieeexplore.ieee.org
We give a deterministic m^1+o(1) time algorithm that computes exact maximum flows and
minimum-cost flows on directed graphs with m edges and polynomially bounded integral …

A deterministic almost-tight distributed algorithm for approximating single-source shortest paths

M Henzinger, S Krinninger, D Nanongkai - Proceedings of the forty …, 2016 - dl.acm.org
We present a deterministic (1+ o (1))-approximation O (n 1/2+ o (1)+ D 1+ o (1))-time
algorithm for solving the single-source shortest paths problem on distributed weighted …

Iterative Refinement for p-norm Regression

D Adil, R Kyng, R Peng, S Sachdeva - … of the Thirtieth Annual ACM-SIAM …, 2019 - SIAM
We give improved algorithms for the ℓp-regression problem, min x‖ x‖ p such that Ax= b,
for all p∊(1, 2)∪(2,∞). Our algorithms obtain a high accuracy solution in iterations, where …

Distributed algorithms for planar networks ii: Low-congestion shortcuts, mst, and min-cut

M Ghaffari, B Haeupler - Proceedings of the twenty-seventh annual ACM …, 2016 - SIAM
This paper introduces the concept of low-congestion shortcuts for (near-) planar networks,
and demonstrates their power by using them to obtain near-optimal distributed algorithms for …

Universally-optimal distributed algorithms for known topologies

B Haeupler, D Wajc, G Zuzic - Proceedings of the 53rd Annual ACM …, 2021 - dl.acm.org
Many distributed optimization algorithms achieve existentially-optimal running times,
meaning that there exists some pathological worst-case topology on which no algorithm can …

Fast dynamic cuts, distances and effective resistances via vertex sparsifiers

L Chen, G Goranci, M Henzinger… - 2020 IEEE 61st …, 2020 - ieeexplore.ieee.org
We present a general framework of designing efficient dynamic approximate algorithms for
optimization problems on undirected graphs. In particular, we develop a technique that …

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 …

Universally-Optimal Distributed Shortest Paths and Transshipment via Graph-Based ℓ1-Oblivious Routing

G Zuzic, G Goranci, M Ye, B Haeupler, X Sun - … of the 2022 Annual ACM-SIAM …, 2022 - SIAM
We provide universally-optimal distributed graph algorithms for (1+∊)-approximate shortest
path problems including shortest-path-tree and transshipment. The universal optimality of …

Distributed exact weighted all-pairs shortest paths in near-linear time

A Bernstein, D Nanongkai - Proceedings of the 51st Annual ACM …, 2019 - dl.acm.org
In the distributed all-pairs shortest paths problem (APSP), every node in the weighted
undirected distributed network (the CONGEST model) needs to know the distance from …