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We study optimal distributed first-order optimization algorithms when the network (i.e., communication constraints between the agents) changes with time. This problem is motivated by scenarios where agents experience network malfunctions.…

Optimization and Control · Mathematics 2019-12-02 Alexander Rogozin , César A. Uribe , Alexander Gasnikov , Nikolay Malkovsky , Angelia Nedić

We consider collaborative graph exploration with a set of $k$ agents. All agents start at a common vertex of an initially unknown graph and need to collectively visit all other vertices. We assume agents are deterministic, vertices are…

Discrete Mathematics · Computer Science 2016-10-07 Yann Disser , Frank Mousset , Andreas Noever , Nemanja Škorić , Angelika Steger

We consider the message complexity of verifying whether a given subgraph of the communication network forms a tree with specific properties both in the KT-$\rho$ (nodes know their $\rho$-hop neighborhood, including node IDs) and the KT-$0$…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-01 Shay Kutten , Peter Robinson , Ming Ming Tan

We study the problem of maintaining robust and sparse overlay networks in fully distributed settings where nodes continuously join and leave the system. This scenario closely models real-world unstructured peer-to-peer networks, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-16 Antonio Cruciani

In this work we consider the HYBRID model of distributed computing, introduced recently by Augustine, Hinnenthal, Kuhn, Scheideler, and Schneider (SODA 2020), where nodes have access to two different communication modes: high-bandwidth…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-20 Yi-Jun Chang , Oren Hecht , Dean Leitersdorf , Philipp Schneider

We consider wireless networks operating under the SINR model of interference. Nodes have limited individual knowledge and capabilities: they do not know their positions in a coordinate system in the plane, further they do not know their…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-15 Bogdan S. Chlebus , Dariusz R. Kowalski , Shailesh Vaya

Consider n nodes connected to a single coordinator. Each node receives an individual online data stream of numbers and, at any point in time, the coordinator has to know the k nodes currently observing the largest values, for a given k…

Data Structures and Algorithms · Computer Science 2016-10-28 Alexander Mäcker , Manuel Malatyali , Friedhelm Meyer auf der Heide

The CONGEST and CONGEST-CLIQUE models have been carefully studied to represent situations where the communication bandwidth between processors in a network is severely limited. Messages of only $O(log(n))$ bits of information each may be…

Broadcasting algorithms are important building blocks of distributed systems. In this work we investigate the typical performance of the classical and well-studied push model. Assume that initially one node in a given network holds some…

Combinatorics · Mathematics 2010-02-19 Nikolaos Fountoulakis , Konstantinos Panagiotou

Distributed resource allocation is a central task in network systems such as smart grids, water distribution networks, and urban transportation systems. When solving such problems in practice it is often important to have nonasymptotic…

Optimization and Control · Mathematics 2021-03-30 Xuyang Wu , Sindri Magnusson , Mikael Johansson

Broadcast is a ubiquitous distributed computing problem that underpins many other system tasks. In static, connected networks, it was recently shown that broadcast is solvable without any node memory and only constant-size messages in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-16 Garrett Parzych , Joshua J. Daymude

In this paper the problem of information dissemination in Mobile Ad-hoc Networks (MANET) is studied. The problem is to disseminate a piece of information, initially held by a distinguished source node, to all nodes in a set defined by some…

Data Structures and Algorithms · Computer Science 2011-06-01 Martin Farach-Colton , Antonio Fernandez Anta , Alessia Milani , Miguel A. Mosteiro , Shmuel Zaks

We consider distributed online learning protocols that control the exchange of information between local learners in a round-based learning scenario. The learning performance of such a protocol is intuitively optimal if approximately the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-02 Michael Kamp , Mario Boley , Michael Mock , Daniel Keren , Assaf Schuster , Izchak Sharfman

In distributed networks, it is often useful for the nodes to be aware of dense subgraphs, e.g., such a dense subgraph could reveal dense subtructures in otherwise sparse graphs (e.g. the World Wide Web or social networks); these might…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-08 Atish Das Sarma , Ashwin Lall , Danupon Nanongkai , Amitabh Trehan

Gossip algorithms spread information by having nodes repeatedly forward information to a few random contacts. By their very nature, gossip algorithms tend to be distributed and fault tolerant. If done right, they can also be fast and…

Data Structures and Algorithms · Computer Science 2014-02-13 Bernhard Haeupler , Dahlia Malkhi

Given a distributed network represented by a weighted undirected graph $G=(V,E)$ on $n$ vertices, and a parameter $k$, we devise a distributed algorithm that computes a routing scheme in $(n^{1/2+1/k}+D)\cdot n^{o(1)}$ rounds, where $D$ is…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-22 Michael Elkin , Ofer Neiman

We consider the problem of self-healing in peer-to-peer networks that are under repeated attack by an omniscient adversary. We assume that the following process continues for up to n rounds where n is the total number of nodes initially in…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-02-15 Tom Hayes , Navin Rustagi , Jared Saia , Amitabh Trehan

Much work has been developed for studying the classical broadcasting problem in the SINR (Signal-to-Interference-plus-Noise-Ratio) model for wireless device transmission. The setting typically studied is when all radio nodes transmit a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-18 William K. Moses , Shailesh Vaya

We consider the following multi--level opinion spreading model on networks. Initially, each node gets a weight from the set [0..k-1], where such a weight stands for the individuals conviction of a new idea or product. Then, by proceeding to…

Social and Information Networks · Computer Science 2012-09-27 Sara Brunetti , Gennaro Cordasco , Luisa Gargano , Elena Lodi , Walter Quattrociocchi

This paper presents a randomized Las Vegas distributed algorithm that constructs a minimum spanning tree (MST) in weighted networks with optimal (up to polylogarithmic factors) time and message complexity. This algorithm runs in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-25 Gopal Pandurangan , Peter Robinson , Michele Scquizzato