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We study the consensus problem in a synchronous distributed system of $n$ nodes under an adaptive adversary that has a slightly outdated view of the system and can block all incoming and outgoing communication of a constant fraction of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-03 Peter Robinson , Christian Scheideler , Alexander Setzer

We present the first sublinear-time algorithm for a distributed message-passing network sto compute its edge connectivity $\lambda$ exactly in the CONGEST model, as long as there are no parallel edges. Our algorithm takes $\tilde…

Data Structures and Algorithms · Computer Science 2019-04-10 Mohit Daga , Monika Henzinger , Danupon Nanongkai , Thatchaphol Saranurak

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…

Data Structures and Algorithms · Computer Science 2015-03-19 John Augustine , Gopal Pandurangan , Peter Robinson , Eli Upfal

A distributed algorithm is self-stabilizing if after faults and attacks hit the system and place it in some arbitrary global state, the systems recovers from this catastrophic situation without external intervention in finite time.…

Data Structures and Algorithms · Computer Science 2009-09-29 Samuel Bernard , Stéphane Devismes , Maria Gradinariu Potop-Butucaru , Sébastien Tixeuil

In this paper, we present the first snap-stabilizing message forwarding protocol that uses a number of buffers per node being inde- pendent of any global parameter, that is 4 buffers per link. The protocol works on a linear chain of nodes,…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-06-18 Anissa Lamani , Alain Cournier , Swan Dubois , Franck Petit , Vincent Villain

We study the scalability of consensus-based distributed optimization algorithms by considering two questions: How many processors should we use for a given problem, and how often should they communicate when communication is not free?…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-06 Konstantinos I. Tsianos , Sean Lawlor , Michael G. Rabbat

We describe a distributed randomized algorithm computing approximate distances and routes that approximate shortest paths. Let n denote the number of nodes in the graph, and let HD denote the hop diameter of the graph, i.e., the diameter of…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-11-05 Christoph Lenzen , Boaz Patt-Shamir

We study the decentralized consensus and stochastic optimization problems with compressed communications over static directed graphs. We propose an iterative gradient-based algorithm that compresses messages according to a desired…

Optimization and Control · Mathematics 2022-04-19 Mohammad Taha Toghani , César A. Uribe

End-to-end communication over the network layer (or data link in overlay networks) is one of the most important communication tasks in every communication network, including legacy communication networks as well as mobile ad hoc networks,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-11 Shlomi Dolev , Ariel Hanemann , Elad Micahel Schiller , Shantanu Sharma

We consider the problem of communication efficient distributed optimization where multiple nodes exchange important algorithm information in every iteration to solve large problems. In particular, we focus on the stochastic variance-reduced…

Machine Learning · Computer Science 2020-03-16 Hossein S. Ghadikolaei , Sindri Magnusson

In graph theory, an independent set is a subset of nodes where there are no two adjacent nodes. The independent set is maximal if no node outside the independent set can join it. In network applications, maximal independent sets can be used…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-01 Badreddine Benreguia , Hamouma Moumen , Soheila Bouam , Chafik Arar

A self-stabilizing protocol has the capacity to recover a legitimate behavior whatever is its initial state. The majority of works in self-stabilization assume a shared memory model or a communication using reliable and FIFO channels. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-04-21 Shlomi Dolev , Swan Dubois , Maria Potop-Butucaru , Sébastien Tixeuil

We describe a synchronous distributed algorithm which identifies the edge-biconnected components of a connected network. It requires a leader, and uses messages of size O(log |V|). The main idea is to preorder a BFS spanning tree, and then…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 David Pritchard

There are many distributed systems which use a leader in their logic. When such systems need to be fault tolerant and the current leader suffers a technical problem, it is necesary to apply a special algorithm in order to choose a new…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-08 Marius Rafailescu

We consider programmable matter that consists of computationally limited devices (called particles) that are able to self-organize in order to achieve some collective goal without the need for central control or external intervention. We…

Emerging Technologies · Computer Science 2017-08-08 Joshua J. Daymude , Robert Gmyr , Andrea W. Richa , Christian Scheideler , Thim Strothmann

We propose an algorithm for distributed optimization over time-varying communication networks. Our algorithm uses an optimized ratio between the number of rounds of communication and gradient evaluations to achieve fast convergence. The…

Optimization and Control · Mathematics 2020-01-08 Bryan Van Scoy , Laurent Lessard

We study the problem of information gathering in ad-hoc radio networks without collision detection, focussing on the case when the network forms a tree, with edges directed towards the root. Initially, each node has a piece of information…

Data Structures and Algorithms · Computer Science 2014-07-08 Marek Chrobak , Kevin Costello , Leszek Gasieniec , Dariusz R. Kowalski

Synchronous Counting is the task of reaching agreement on a common round counter in a synchronous system of $n$ nodes with up to $t$ Byzantine faults in a self-stabilizing manner. That is, after transient faults may have arbitrarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Christoph Lenzen , Julian Loss

We study the NP-hard problem of approximating a Minimum Routing Cost Spanning Tree in the message passing model with limited bandwidth (CONGEST model). In this problem one tries to find a spanning tree of a graph $G$ over $n$ nodes that…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-06 Alexandra Hochuli , Stephan Holzer , Roger Wattenhofer

In this paper we propose a new scheduling algorithm called Real Time Scheduling (RTS) which uses virtual nodes for self stabilization. This algorithm deals with all the contributing components of the end-to-end travelling delay of data…

Networking and Internet Architecture · Computer Science 2013-01-22 Deepali Virmani , Satbir Jain