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We consider an information update system on a gossip network, where a source node encodes information into $n$ total keys such that any subset of at least $k+1$ keys can fully reconstruct the original information. This encoding process…

Information Theory · Computer Science 2024-10-28 Erkan Bayram , Melih Bastopcu , Mohamed-Ali Belabbas , Tamer Başar

Relay networks having $n$ source-to-destination pairs and $m$ half-duplex relays, all operating in the same frequency band in the presence of block fading, are analyzed. This setup has attracted significant attention and several relaying…

Information Theory · Computer Science 2016-11-15 Shengshan Cui , Alexander M. Haimovich , Oren Somekh , H. Vincent Poor

In this paper, we propose solutions for the energy-efficient broadcasting over cross networks, where N nodes are located on two perpendicular lines. Our solutions consist of an algorithm which finds the optimal range assignment in…

Networking and Internet Architecture · Computer Science 2015-04-22 Mohammad R. Ataei , Amir H. Banihashemi , Thomas Kunz

We consider the binary freshness metric for gossip networks that consist of a single source and $n$ end-nodes, where the end-nodes are allowed to share their stored versions of the source information with the other nodes. We develop…

Information Theory · Computer Science 2021-07-30 Melih Bastopcu , Baturalp Buyukates , Sennur Ulukus

In this paper we present various distributed algorithms for LP-type problems in the well-known gossip model. LP-type problems include many important classes of problems such as (integer) linear programming, geometric problems like smallest…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-25 Kristian Hinnenthal , Christian Scheideler , Martijn Struijs

We introduce collision free layerings as a powerful way to structure radio networks. These layerings can replace hard-to-compute BFS-trees in many contexts while having an efficient randomized distributed construction. We demonstrate their…

Networking and Internet Architecture · Computer Science 2014-04-10 Mohsen Ghaffari , Bernhard Haeupler

We present two deterministic dynamic algorithms for the maximum matching problem. (1) An algorithm that maintains a $(2+\epsilon)$-approximate maximum matching in general graphs with $O(\text{poly}(\log n, 1/\epsilon))$ update time. (2) An…

Data Structures and Algorithms · Computer Science 2016-04-21 Sayan Bhattacharya , Monika Henzinger , Danupon Nanongkai

Consider a network of agents connected by communication links, where each agent holds a real value. The gossip problem consists in estimating the average of the values diffused in the network in a distributed manner. We develop a method…

Multiagent Systems · Computer Science 2019-06-12 Raphaël Berthier , Francis Bach , Pierre Gaillard

In this paper we investigate the optimal latency of communications. Focusing on fixed rate communication without any feedback channel, this paper encompasses low-latency strategies with which one hop and multi-hop communication issues are…

Information Theory · Computer Science 2017-01-05 Minh Au , Francois Gagnon

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

This paper concerns designing distributed algorithms that are {\em singularly optimal}, i.e., algorithms that are {\em simultaneously} time and message {\em optimal}, for the fundamental leader election problem in {\em asynchronous}…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-13 Shay Kutten , William K. Moses , Gopal Pandurangan , David Peleg

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

We study the problem of clock synchronization in highly dynamic networks, where communication links can appear or disappear at any time. The nodes in the network are equipped with hardware clocks, but the rate of the hardware clocks can…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-11 Fabian Kuhn , Christoph Lenzen , Thomas Locher , Rotem Oshman

We consider a fully connected network consisting of a source that maintains the current version of a file, $n$ nodes that use asynchronous gossip mechanisms to disseminate fresh information in the network, and an adversary who infects the…

Information Theory · Computer Science 2022-05-18 Priyanka Kaswan , Sennur Ulukus

In this paper, we focus on the problem of data sharing over a wireless computer network (i.e., a wireless grid). Given a set of available data, we present a distributed algorithm which operates over a dynamically changing network, and…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Apostolos I. Rikos , Christoforos N. Hadjicostis , Karl H. Johansson

An L(2,1)-labeling of a graph $G$ is an assignment $f$ from the vertex set $V(G)$ to the set of nonnegative integers such that $|f(x)-f(y)|\ge 2$ if $x$ and $y$ are adjacent and $|f(x)-f(y)|\ge 1$ if $x$ and $y$ are at distance 2, for all…

Data Structures and Algorithms · Computer Science 2010-11-25 Toru Hasunuma , Toshimasa Ishii , Hirotaka Ono , Yushi Uno

We study the problem of maximizing the broadcast rate in peer-to-peer (P2P) systems under \emph{node degree bounds}, i.e., the number of neighbors a node can simultaneously connect to is upper-bounded. The problem is critical for supporting…

Networking and Internet Architecture · Computer Science 2012-06-20 Shaoquan Zhang , Ziyu Shao , Minghua Chen , Libin Jiang

In distributed optimization and machine learning, multiple nodes coordinate to solve large problems. To do this, the nodes need to compress important algorithm information to bits so that it can be communicated over a digital channel. The…

Optimization and Control · Mathematics 2020-12-02 Sindri Magnússon , Hossein Shokri-Ghadikolaei , Na Li

We consider the standard message passing model; we assume the system is fully synchronous: all processes start at the same time and time proceeds in synchronised rounds. In each round each vertex can transmit a different message of size…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-14 Y. Métivier , J. M. Robson , A. Zemmari

The broadcasting problem concerns the efficient dissemination of information in graphs. In classical broadcasting, a single originator vertex initially has a message to be transmitted to all vertices. Every vertex which has received the…

Combinatorics · Mathematics 2026-02-02 David Evangelista , Hovhannes A. Harutyunyan , Aram Khanlari