Local problems on grids from the perspective of distributed algorithms, finitary factors, and descriptive combinatorics

J Grebík, V Rozhoň - Advances in Mathematics, 2023 - Elsevier
We present an intimate connection among the following fields:(a) distributed local
algorithms: coming from the area of computer science,(b) finitary factors of iid processes …

Distributed MIS with low energy and time complexities

M Ghaffari, J Portmann - Proceedings of the 2023 ACM Symposium on …, 2023 - dl.acm.org
We present randomized distributed algorithms for the maximal independent set problem
(MIS) that, while keeping the time complexity nearly matching the best known, reduce the …

The energy complexity of BFS in radio networks

YJ Chang, V Dani, TP Hayes, S Pettie - Proceedings of the 39th …, 2020 - dl.acm.org
We consider a model of energy complexity in Radio Networks in which transmitting or
listening on the channel costs one unit of energy and computation is free. This simplified …

A near-optimal low-energy deterministic distributed SSSP with ramifications on congestion and APSP

M Ghaffari, A Trygub - Proceedings of the 43rd ACM Symposium on …, 2024 - dl.acm.org
We present a low-energy deterministic distributed algorithm that computes exact Single-
Source Shortest Paths (SSSP) in near-optimal time: it runs in Õ (n) rounds and each node is …

The energy complexity of broadcast

YJ Chang, V Dani, TP Hayes, Q He, W Li… - Proceedings of the 2018 …, 2018 - dl.acm.org
Energy is often the most constrained resource in networks of batterypowered devices, and
as devices become smaller, they spend a larger fraction of their energy on communication …

How to wake up your neighbors: safe and nearly optimal generic energy conservation in radio networks

V Dani, TP Hayes - arXiv preprint arXiv:2205.12830, 2022 - arxiv.org
Recent work has shown that it is sometimes feasible to significantly reduce the energy
usage of some radio-network algorithms by adaptively powering down the radio receiver …

Node and edge averaged complexities of local graph problems

A Balliu, M Ghaffari, F Kuhn, D Olivetti - … of the 2022 ACM Symposium on …, 2022 - dl.acm.org
We continue the recently started line of work on the distributed node-averaged complexity of
distributed graph algorithms. The node-averaged complexity of a distributed algorithm …

Contention resolution without collision detection

MA Bender, T Kopelowitz, W Kuszmaul… - Proceedings of the 52nd …, 2020 - dl.acm.org
This paper focuses on the contention resolution problem on a shared communication
channel that does not support collision detection. A shared communication channel is a …

Distributed MIS in O (log log n) Awake Complexity

F Dufoulon, WK Moses Jr, G Pandurangan - Proceedings of the 2023 …, 2023 - dl.acm.org
Maximal Independent Set (MIS) is one of the fundamental and most well-studied problems in
distributed graph algorithms. Even after four decades of intensive research, the best known …

Wake up and join me! an energy-efficient algorithm for maximal matching in radio networks

V Dani, A Gupta, TP Hayes, S Pettie - Distributed Computing, 2023 - Springer
We consider networks of small, autonomous devices that communicate with each other
wirelessly. Minimizing energy usage is an important consideration in designing algorithms …