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In this paper, we consider the problem of maximizing the throughput of Byzantine agreement, given that the sum capacity of all links in between nodes in the system is finite. We have proposed a highly efficient Byzantine agreement algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-06-15 Guanfeng Liang , Nitin Vaidya

We consider two fundamental communication tasks in arbitrary radio networks: broadcasting (information from one source has to reach all nodes) and gossiping (every node has a message and all messages have to reach all nodes). Nodes are…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-11 Adam Gańczorz , Tomasz Jurdziński , Andrzej Pelc

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-01-12 Atish Das Sarma , Anisur Rahaman Molla , Gopal Pandurangan

Dynamic Connectivity is a fundamental algorithmic graph problem, motivated by a wide range of applications to social and communication networks and used as a building block in various other algorithms, such as the bi-connectivity and the…

Data Structures and Algorithms · Computer Science 2021-05-19 Alexander Fedorov , Nikita Koval , Dan Alistarh

This paper proposes two nonlinear dynamics to solve constrained distributed optimization problem for resource allocation over a multi-agent network. In this setup, coupling constraint refers to resource-demand balance which is preserved at…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Mohammadreza Doostmohammadian , Alireza Aghasi , Maria Vrakopoulou , Hamid R. Rabiee , Usman A. Khan , Themistoklis Charalambou

Consensus is one of the most thoroughly studied problems in distributed computing, yet there are still complexity gaps that have not been bridged for decades. In particular, in the classical message-passing setting with processes' crashes,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-25 MohammadTaghi HajiAghayi , Dariusz R. Kowalski , Jan Olkowski

We study the online minimum cost bipartite perfect matching with delays problem. In this problem, $m$ servers and $m$ requests arrive over time, and an online algorithm can delay the matching between servers and requests by paying the delay…

Data Structures and Algorithms · Computer Science 2024-08-06 Tung-Wei Kuo

Distributed minimum spanning tree (MST) problem is one of the most central and fundamental problems in distributed graph algorithms. Garay et al. \cite{GKP98,KP98} devised an algorithm with running time $O(D + \sqrt{n} \cdot \log^* n)$,…

Data Structures and Algorithms · Computer Science 2017-03-08 Michael Elkin

Partitioning and deploying Deep Neural Networks (DNNs) across edge nodes may be used to meet performance objectives of applications. However, the failure of a single node may result in cascading failures that will adversely impact the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-14 Ayesha Abdul Majeed , Peter Kilpatrick , Ivor Spence , Blesson Varghese

We consider networks of small, autonomous devices that communicate with each other wirelessly. Minimizing energy usage is an important consideration in designing algorithms for such networks, as battery life is a crucial and limited…

Data Structures and Algorithms · Computer Science 2022-04-19 Varsha Dani , Aayush Gupta , Thomas P. Hayes , Seth Pettie

We revisit the vertex-failure connectivity oracle problem. This is one of the most basic graph data structure problems under vertex updates, yet its complexity is still not well-understood. We essentially settle the complexity of this…

Data Structures and Algorithms · Computer Science 2022-05-10 Yaowei Long , Thatchaphol Saranurak

Most algorithms for decentralized learning employ a consensus or diffusion mechanism to drive agents to a common solution of a global optimization problem. Generally this takes the form of linear averaging, at a rate of contraction…

Optimization and Control · Mathematics 2024-06-07 Aaron Fainman , Stefan Vlaski

We consider the distributed weight balancing problem in networks of nodes that are interconnected via directed edges, each of which is able to admit a positive integer weight within a certain interval, captured by individual lower and upper…

Systems and Control · Electrical Eng. & Systems 2019-07-10 Apostolos I. Rikos , Christoforos N. Hadjicostis

Distributed abstract programs are a novel class of distributed optimization problems where (i) the number of variables is much smaller than the number of constraints and (ii) each constraint is associated to a network node. Abstract…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-02 Giuseppe Notarstefano , Francesco Bullo

Ad-hoc radio networks and multiple access channels are classical and well-studied models of distributed systems, with a large body of literature on deterministic algorithms for fundamental communications primitives such as broadcasting and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Artur Czumaj , Peter Davies

The deployment of large language models' (LLMs) inference at the edge can facilitate prompt service responsiveness while protecting user privacy. However, it is critically challenged by the resource constraints of a single edge node.…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Peirong Zheng , Wenchao Xu , Haozhao Wang , Jinyu Chen , Xuemin Shen

The $\hybrid$ model was recently introduced by Augustine et al. \cite{DBLP:conf/soda/AugustineHKSS20} in order to characterize from an algorithmic standpoint the capabilities of networks which combine multiple communication modes.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-05 Ioannis Anagnostides , Themis Gouleakis

We analyze stability of consensus algorithms in networks of multi-agents with time-varying topologies and delays. The topology and delays are modeled as induced by an adapted process and are rather general, including i.i.d.\ topology…

Dynamical Systems · Mathematics 2011-06-07 Wenlian Lu , Fatihcan M. Atay , Jurgen Jost

Distributed averaging is among the most relevant cooperative control problems, with applications in sensor and robotic networks, distributed signal processing, data fusion, and load balancing. Consensus and gossip algorithms have been…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Christel Sirocchi , Alessandro Bogliolo

This paper studies broadcasting and gossiping algorithms in random and general AdHoc networks. Our goal is not only to minimise the broadcasting and gossiping time, but also to minimise the energy consumption, which is measured in terms of…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Petra Berenbrink , Colin Cooper , Zengjian Hu