Distributed exact shortest paths in sublinear time

M Elkin - Journal of the ACM (JACM), 2020 - dl.acm.org
The distributed single-source shortest paths problem is one of the most fundamental and
central problems in the message-passing distributed computing. Classical Bellman-Ford …

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 …

Single-source shortest paths in the CONGEST model with improved bound

S Chechik, D Mukhtar - Proceedings of the 39th Symposium on …, 2020 - dl.acm.org
We improve the time complexity of the single-source shortest path problem for weighted
directed graphs (with non-negative integer weights) in the Broadcast CONGEST model of …

A round-efficient distributed betweenness centrality algorithm

L Hoang, M Pontecorvi, R Dathathri, G Gill… - Proceedings of the 24th …, 2019 - dl.acm.org
We present Min-Rounds BC (MRBC), a distributed-memory algorithm in the CONGEST
model that computes the betweenness centrality (BC) of every vertex in a directed …

Minor sparsifiers and the distributed laplacian paradigm

S Forster, G Goranci, YP Liu, R Peng… - 2021 IEEE 62nd …, 2022 - ieeexplore.ieee.org
We study distributed algorithms built around minor-based vertex sparsifiers, and give the first
algorithm in the CONGEST model for solving linear systems in graph Laplacian matrices to …

Faster deterministic all pairs shortest paths in congest model

U Agarwal, V Ramachandran - … of the 32nd ACM Symposium on …, 2020 - dl.acm.org
We present a new deterministic algorithm for distributed weighted all pairs shortest paths
(APSP) in both undirected and directed graphs. Our algorithm runs in~ O (n4/3) rounds in …

Distance computations in the hybrid network model via oracle simulations

K Censor-Hillel, D Leitersdorf, V Polosukhin - arXiv preprint arXiv …, 2020 - arxiv.org
The Hybrid network model was introduced in [Augustine et al., SODA'20] for laying down a
theoretical foundation for networks which combine two possible modes of communication …

On sparsity awareness in distributed computations

K Censor-Hillel, D Leitersdorf… - Proceedings of the 33rd …, 2021 - dl.acm.org
We extract a core principle that underlies seemingly different fundamental distributed
settings, which is that sparsity awareness may induce faster algorithms for core problems in …

Improved approximation bounds for minimum weight cycle in the congest model

V Manoharan, V Ramachandran - arXiv preprint arXiv:2308.08670, 2023 - arxiv.org
Minimum Weight Cycle (MWC) is the problem of finding a simple cycle of minimum weight in
a graph $ G=(V, E) $. This is a fundamental graph problem with classical sequential …

Distributed distance approximation

B Ancona, K Censor-Hillel, M Dalirrooyfard… - arXiv preprint arXiv …, 2020 - arxiv.org
Diameter, radius and eccentricities are fundamental graph parameters, which are
extensively studied in various computational settings. Typically, computing approximate …