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We give a time-randomness tradeoff for the quasi-random rumor spreading protocol proposed by Doerr, Friedrich and Sauerwald [SODA 2008] on complete graphs. In this protocol, the goal is to spread a piece of information originating from one…

Data Structures and Algorithms · Computer Science 2010-08-04 Benjamin Doerr , Mahmoud Fouz

In a single hop broadcast packet erasure network, we demonstrate that it is possible to provide multirate packet delivery outside of what is given by the network min-cut. This is achieved by using a deterministic non-block-based network…

Information Theory · Computer Science 2014-01-06 Amy Fu , Parastoo Sadeghi , Muriel Medard

One model of message delivery in a computer network is based on labelling each edge by a subset of a (reasonably small) universal set, and then encoding a path as the union of the labels of its edges. Earlier work suggested using random…

Combinatorics · Mathematics 2018-06-26 Gokce Caylak Kayaturan , Alexei Vernitski

In the original (1961) Gilbert model of random geometric graphs, nodes are placed according to a Poisson point process, and links formed between those within a fixed range. Motivated by wireless ad-hoc networks "soft" or "probabilistic"…

Statistical Mechanics · Physics 2017-06-15 Carl P. Dettmann , Orestis Georgiou

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

This letter considers a network comprising a transmitter, which employs random linear network coding to encode a message, a legitimate receiver, which can recover the message if it gathers a sufficient number of linearly independent coded…

Cryptography and Security · Computer Science 2022-03-08 Amjad Saeed Khan , Andrea Tassi , Ioannis Chatzigeorgiou

We present an efficient routing approach for delivering packets in complex networks. On delivering a message from a node to a destination, a node forwards the message to a neighbor by estimating the waiting time along the shortest path from…

Networking and Internet Architecture · Computer Science 2008-06-12 Huan Zhang , Zonghua Liu , Ming Tang , P. M. Hui

Beaconless geocast protocols are routing protocols used to send messages in mobile ad-hoc wireless networks, in which the only information available to each node is its own location. Messages get routed in a distributed manner: each node…

Computational Geometry · Computer Science 2025-12-03 Joachim Gudmundsson , Irina Kostitsyna , Maarten Löffler , Tobias Müller , Vera Sacristán , Rodrigo I. Silveira

We consider the problem of routing packets across a multi-hop network consisting of multiple sources of traffic and wireless links while ensuring bounded expected delay. Each packet transmission can be overheard by a random subset of…

Networking and Internet Architecture · Computer Science 2012-03-07 Abhijeet Bhorkar , Mohammad Naghshwar , Tara Javidi

Most graph neural network models rely on a particular message passing paradigm, where the idea is to iteratively propagate node representations of a graph to each node in the direct neighborhood. While very prominent, this paradigm leads to…

Machine Learning · Computer Science 2023-01-24 Ralph Abboud , Radoslav Dimitrov , İsmail İlkan Ceylan

We study random linear network coding for broadcasting in time division duplexing channels. We assume a packet erasure channel with nodes that cannot transmit and receive information simultaneously. The sender transmits coded data packets…

Information Theory · Computer Science 2009-03-26 Daniel E. Lucani , Muriel Médard , Milica Stojanovic

We consider a single-source, multiple-relay, single-destination lossy network employing Random Linear Network coding at all transmitting nodes. We address the problem of calculating the probability of successful decoding at the destination…

Information Theory · Computer Science 2019-04-12 Evgeny Tsimbalo , Magnus Sandell

We investigate a probabilistic model for routeing in a multihop ad-hoc communication network, where each user sends a message to the base station. Messages travel in hops via other users, used as relays. Their trajectories are chosen at…

Optimization and Control · Mathematics 2019-02-18 Wolfgang König , András Tóbiás

Wireless communication in a network of mobile devices is a challenging and resource demanding task, due to the highly dynamic network topology and the wireless channel randomness. This paper investigates information broadcast schemes in 2D…

Networking and Internet Architecture · Computer Science 2016-11-17 Zijie Zhang , Guoqiang Mao , Brian Anderson

In the ad-hoc radio network model, nodes communicate with their neighbors via radio signals, without knowing the topology of the graph. We study the information gathering problem, where each node has a piece of information called a rumor,…

Data Structures and Algorithms · Computer Science 2019-11-19 Marek Chrobak , Kevin Costello , Leszek Gasieniec

We consider the problem of data exchange by a group of closely-located wireless nodes. In this problem each node holds a set of packets and needs to obtain all the packets held by other nodes. Each of the nodes can broadcast the packets in…

Information Theory · Computer Science 2016-11-15 Salim El Rouayheb , Alex Sprintson , Parastoo Sadeghi

Information dissemination is a fundamental problem in parallel and distributed computing. In its simplest variant, the broadcasting problem, a message has to be spread among all nodes of a graph. A prominent communication protocol for this…

Data Structures and Algorithms · Computer Science 2014-12-10 Robert Elsässer , Dominik Kaaser

Consider n nodes communicating over an unreliable broadcast channel. Each node has a single packet that needs to be communicated to all other nodes. Time is slotted, and a time slot is long enough for each node to broadcast one packet. Each…

Information Theory · Computer Science 2021-07-23 Mark A. Graham , Ayalvadi J. Ganesh , Robert J. Piechocki

We revisit the classic broadcast problem, wherein we have $k$ messages, each composed of $O(\log{n})$ bits, distributed arbitrarily across a network. The objective is to broadcast these messages to all nodes in the network. In the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-22 Shashwat Chandra , Yi-Jun Chang , Michal Dory , Mohsen Ghaffari , Dean Leitersdorf

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