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In this paper we study the multisource multicast problem where every sink in a given directed acyclic graph is a client and is interested in a common file. We consider the case where each node can have partial knowledge about the file as a…

Information Theory · Computer Science 2012-03-13 Nebojsa Milosavljevic , Sameer Pawar , Salim El Rouayheb , Michael Gastpar , Kannan Ramchandran

This paper revisits the study of (minimum) broadcast graphs, i.e., graphs enabling fast information dissemination from every source node to all the other nodes (and having minimum number of edges for this property). This study is performed…

Data Structures and Algorithms · Computer Science 2025-03-07 Pierre Fraigniaud , Hovhannes A. Harutyunyan

The network coding problem asks whether data throughput in a network can be increased using coding (compared to treating bits as commodities in a flow). While it is well-known that a network coding advantage exists in directed graphs, the…

Computational Complexity · Computer Science 2025-10-22 Mark Braverman , Zhongtian He

In recent times, a considerable amount of work has been devoted to the development and analysis of gossip algorithms in Geometric Random Graphs. In a recently introduced model termed "Geographic Gossip," each node is aware of its position…

Multiagent Systems · Computer Science 2007-07-16 Hariharan Narayanan

In the minimum Multicut problem, the input is an edge-weighted supply graph $G=(V,E)$ and a simple demand graph $H=(V,F)$. Either $G$ and $H$ are directed (DMulC) or both are undirected (UMulC). The goal is to remove a minimum weight set of…

Discrete Mathematics · Computer Science 2016-08-01 Chandra Chekuri , Vivek Madan

We study gossip algorithms for the rumor spreading problem which asks each node to deliver a rumor to all nodes in an unknown network. Gossip algorithms allow nodes only to call one neighbor per round and have recently attracted attention…

Data Structures and Algorithms · Computer Science 2014-04-08 Bernhard Haeupler

We consider decentralized stochastic optimization with the objective function (e.g. data samples for machine learning task) being distributed over $n$ machines that can only communicate to their neighbors on a fixed communication graph. To…

Machine Learning · Computer Science 2019-02-04 Anastasia Koloskova , Sebastian U. Stich , Martin Jaggi

We provide a geometric solution to the problem of optimal relay positioning to maximize the multicast rate for low-SNR networks. The networks we consider, consist of a single source, multiple receivers and the only intermediate and…

Information Theory · Computer Science 2011-06-02 Mohit Thakur , Nadia Fawaz , Muriel Médard

The gossip problem (telephone problem) is an information dissemination problem in which each of $n$ nodes of a communication network has a unique piece of information that must be transmitted to all the other nodes using two-way…

Information Theory · Computer Science 2016-12-12 V. H. Hovnanyan , H. E. Nahapetyan , Su. S. Poghosyan , V. S. Poghosyan

We study the classical rumor spreading problem, which is used to spread information in an unknown network with $n$ nodes. We present the first protocol for any expander graph $G$ with $n$ nodes and minimum degree $\Theta(n)$ such that, the…

Data Structures and Algorithms · Computer Science 2013-11-13 Zeyu Guo , He Sun

We study a gossip protocol called forwarding without repeating (FWR). The objective is to spread multiple rumors over a graph as efficiently as possible. FWR accomplishes this by having nodes record which messages they have forwarded to…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-15 Vincent Gripon , Vitaly Skachek , Michael Rabbat

We present the first provably almost-optimal gossip-based algorithms for aggregate computation that are both time optimal and message-optimal. Given a $n$-node network, our algorithms guarantee that all the nodes can compute the common…

Data Structures and Algorithms · Computer Science 2010-01-20 Jen-Yeu Chen , Gopal Pandurangan

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

Distributed gossip algorithm has been studied in literature for practical implementation of the distributed consensus algorithm as a fundamental algorithm for the purpose of in-network collaborative processing. This paper focuses on…

Systems and Control · Computer Science 2015-12-14 Saber Jafarizadeh

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

The demand of massive access to the same multimedia content at the same time is one major challenge for next-generation cellular networks in densely-packed urban areas. The content-aware multicast transmission strategies provide promising…

Information Theory · Computer Science 2020-04-07 Ahmet Zahid Yalcin , Yavuz Yapici

We study the communication complexity of the Minimum Vertex Cover (MVC) problem on general graphs within the \(k\)-party one-way communication model. Edges of an arbitrary \(n\)-vertex graph are distributed among \(k\) parties. The…

Computational Complexity · Computer Science 2025-05-13 Mahsa Derakhshan , Andisheh Ghasemi , Rajmohan Rajaraman

Motivated by the increasing need to understand the algorithmic foundations of distributed large-scale graph computations, we study a number of fundamental graph problems in a message-passing model for distributed computing where $k \geq 2$…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-07 Gopal Pandurangan , Peter Robinson , Michele Scquizzato

We study a multi-call variant of the classic PUSH&PULL rumor spreading process where nodes can contact $k$ of their neighbors instead of a single one during both PUSH and PULL operations. We show that rumor spreading can be made faster at…

Data Structures and Algorithms · Computer Science 2025-10-23 Emilio Cruciani , Sebastian Forster , Tijn de Vos

Bilevel optimization have gained growing interests, with numerous applications found in meta learning, minimax games, reinforcement learning, and nested composition optimization. This paper studies the problem of distributed bilevel…

Machine Learning · Statistics 2022-06-23 Shuoguang Yang , Xuezhou Zhang , Mengdi Wang