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Round complexity is an extensively studied metric of distributed algorithms. In contrast, our knowledge of the \emph{message complexity} of distributed computing problems and its relationship (if any) with round complexity is still quite…

分布式、并行与集群计算 · 计算机科学 2025-05-01 Fabien Dufoulon , Shreyas Pai , Gopal Pandurangan , Sriram Pemmaraju , Peter Robinson

We propose a protocol to solve Leader Election within weak communication models such as the beeping model or the stone-age model. Unlike most previous work, our algorithm operates on only six states, does not require unique identifiers, and…

分布式、并行与集群计算 · 计算机科学 2025-05-05 Robin Vacus , Isabella Ziccardi

Itai and Rodeh showed that, on the average, the communication of a leader election algorithm takes no more than $LN$ bits, where $L \simeq 2.441716$ and $N$ denotes the size of the ring. We give a precise asymptotic analysis of the average…

分布式、并行与集群计算 · 计算机科学 2025-10-20 Christian Lavault , Guy Louchard

Censor-Hillel, Cohen, Gelles, and Sela (PODC 2022 & Distributed Computing 2023) studied fully-defective asynchronous networks, where communication channels may suffer an extreme form of alteration errors, rendering messages completely…

分布式、并行与集群计算 · 计算机科学 2025-08-20 Jérémie Chalopin , Yi-Jun Chang , Lyuting Chen , Giuseppe A. Di Luna , Haoran Zhou

We consider the energy complexity of the leader election problem in the single-hop radio network model, where each device has a unique identifier in $\{1, 2, \ldots, N\}$. Energy is a scarce resource for small battery-powered devices. For…

数据结构与算法 · 计算机科学 2021-11-15 Yi-Jun Chang , Ran Duan , Shunhua Jiang

The model of population protocols refers to a large collection of simple indistinguishable entities, frequently called {\em agents}. The agents communicate and perform computation through pairwise interactions. We study fast and space…

分布式、并行与集群计算 · 计算机科学 2018-05-15 Leszek Gąsieniec , Grzegorz Stachowiak , Przemysław Uznański

We present a randomized distributed algorithm that in radio networks with collision detection broadcasts a single message in $O(D + \log^6 n)$ rounds, with high probability. This time complexity is most interesting because of its optimal…

数据结构与算法 · 计算机科学 2014-04-04 Mohsen Ghaffari , Bernhard Haeupler , Majid Khabbazian

We consider the time and energy complexities of randomized leader election in a multiple-access channel, where the number of devices $n\geq 2$ is unknown. It is well-known that for polynomial-time randomized leader election algorithms with…

数据结构与算法 · 计算机科学 2022-05-19 Yi-Jun Chang , Shunhua Jiang

Distributed graph algorithms that separately optimize for either the number of rounds used or the total number of messages sent have been studied extensively. However, algorithms simultaneously efficient with respect to both measures have…

分布式、并行与集群计算 · 计算机科学 2018-05-18 Bernhard Haeupler , D. Ellis Hershkowitz , David Wajc

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 energy complexity substantially. These algorithms work in the…

数据结构与算法 · 计算机科学 2023-05-24 Mohsen Ghaffari , Julian Portmann

The model of population protocols refers to the growing in popularity theoretical framework suitable for studying pairwise interactions within a large collection of simple indistinguishable entities, frequently called agents. In this paper…

分布式、并行与集群计算 · 计算机科学 2018-03-28 Leszek Gasieniec , Grzegorz Stachowiak

Performing random walks in networks is a fundamental primitive that has found numerous applications in communication networks such as token management, load balancing, network topology discovery and construction, search, and peer-to-peer…

分布式、并行与集群计算 · 计算机科学 2012-01-12 Atish Das Sarma , Anisur Rahaman Molla , Gopal Pandurangan

Motivated by the need for robust and fast distributed computation in highly dynamic Peer-to-Peer (P2P) networks, we study algorithms for the fundamental distributed agreement problem. P2P networks are highly dynamic networks that experience…

数据结构与算法 · 计算机科学 2015-03-19 John Augustine , Gopal Pandurangan , Peter Robinson , Eli Upfal

We consider the problem of computing a perfect matching problem in a synchronous distributed network, where the network topology corresponds to a complete bipartite graph. The communication between nodes is restricted to activating…

分布式、并行与集群计算 · 计算机科学 2025-06-09 Hugo Mirault , Peter Robinson , Ming Ming Tan , Xianbin Zhu

This paper focuses on compact deterministic self-stabilizing solutions for the leader election problem. When the protocol is required to be \emph{silent} (i.e., when communication content remains fixed from some point in time during any…

分布式、并行与集群计算 · 计算机科学 2014-01-21 Lélia Blin , Sébastien Tixeuil

We present new distributed quantum algorithms for fundamental distributed computing problems, namely, leader election, broadcast, Minimum Spanning Tree (MST), and Breadth-First Search (BFS) tree, in arbitrary networks. These algorithms are…

量子物理 · 物理学 2026-03-03 Fabien Dufoulon , Frédéric Magniez , Gopal Pandurangan

We study the problem of broadcasting multiple messages in the CONGEST model. In this problem, a dedicated source node $s$ possesses a set $M$ of messages with every message of size $O(\log n)$ where $n$ is the total number of nodes. The…

分布式、并行与集群计算 · 计算机科学 2026-01-15 Anton Paramonov , Roger Wattenhofer

This paper initiates the study of the impact of failures on the fundamental problem of \emph{information spreading} in the Vertex-Congest model, in which in every round, each of the $n$ nodes sends the same $O(\log{n})$-bit message to all…

分布式、并行与集群计算 · 计算机科学 2015-07-07 Keren Censor-Hillel , Tariq Toukan

Explorable heap selection is the problem of selecting the $n$th smallest value in a binary heap. The key values can only be accessed by traversing through the underlying infinite binary tree, and the complexity of the algorithm is measured…

数据结构与算法 · 计算机科学 2024-09-12 Sander Borst , Daniel Dadush , Sophie Huiberts , Danish Kashaev

Random selection, leader election, and collective coin flipping are fundamental tasks in fault-tolerant distributed computing. We study these problems in the full-information model where despite decades of study, key gaps remain in our…

计算复杂性 · 计算机科学 2026-04-30 Eshan Chattopadhyay , Mohit Gurumukhani , Noam Ringach , Rocco A. Servedio