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We present a deterministic channel model which captures several key features of multiuser wireless communication. We consider a model for a wireless network with nodes connected by such deterministic channels, and present an exact…

Information Theory · Computer Science 2007-10-23 A. S. Avestimehr , S. N. Diggavi , D. N. C. Tse

In this paper, we study local and global broadcast in the dual graph model, which describes communication in a radio network with both reliable and unreliable links. Existing work proved that efficient solutions to these problems are…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-18 Seth Gilbert , Nancy Lynch , Calvin Newport , Dominik Pajak

Index coding, a source coding problem over broadcast channels, has been a subject of both theoretical and practical interest since its introduction (by Birk and Kol, 1998). In short, the problem can be defined as follows: there is an input…

Information Theory · Computer Science 2019-04-11 Abhishek Agarwal , Larkin Flodin , Arya Mazumdar

The capacity of a class of deterministic relay channels with the transmitter input X, the receiver output Y, the relay output Y_1 = f(X, Y), and a separate communication link from the relay to the receiver with capacity R_0, is shown to be…

Information Theory · Computer Science 2016-11-18 Thomas M. Cover , Young-Han Kim

We consider the following fundamental routing problem. An adversary inputs packets arbitrarily at sources, each packet with an arbitrary destination. Traffic is constrained by link capacities and buffer sizes, and packets may be dropped at…

Data Structures and Algorithms · Computer Science 2015-01-27 Guy Even , Moti Medina , Boaz Patt-Shamir

In this paper, we address the problem of broadcasting in a wireless network under a novel communication model: the {\em swamping} communication model. In this model, nodes communicate only with those nodes at geometric distance greater than…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-10 Evangelos Kranakis , Michel Paquette

A distance labeling scheme is an assignment of bit-labels to the vertices of an undirected, unweighted graph such that the distance between any pair of vertices can be decoded solely from their labels. We propose a series of new labeling…

Data Structures and Algorithms · Computer Science 2016-07-21 Paweł Gawrychowski , Adrian Kosowski , Przemysław Uznański

In this paper, we study a distributed learning problem constrained by constant communication bits. Specifically, we consider the distributed hypothesis testing (DHT) problem where two distributed nodes are constrained to transmit a constant…

Information Theory · Computer Science 2022-01-25 Xiangxiang Xu , Shao-Lun Huang

Characterization of the delay profile of systems employing random linear network coding is important for the reliable provision of broadcast services. Previous studies focused on network coding over large finite fields or developed Markov…

Information Theory · Computer Science 2022-03-08 Ioannis Chatzigeorgiou , Andrea Tassi

A fault-tolerant distance labeling scheme assigns a label to each vertex and edge of an undirected weighted graph $G$ with $n$ vertices so that, for any edge set $F$ of size $|F| \leq f$, one can approximate the distance between $p$ and $q$…

Data Structures and Algorithms · Computer Science 2026-04-03 Bernhard Haeupler , Yaowei Long , Antti Roeyskoe , Thatchaphol Saranurak

DNA labeling is a powerful tool in molecular biology and biotechnology that allows for the visualization, detection, and study of DNA at the molecular level. Under this paradigm, a DNA molecule is being labeled by specific k patterns and is…

Information Theory · Computer Science 2024-01-24 Dganit Hanania , Daniella Bar-Lev , Yevgeni Nogin , Yoav Shechtman , Eitan Yaakobi

Broadcasting is an information dissemination primitive where a message originates at a node (called the originator) and is passed to all other nodes in the network. Broadcasting research is motivated by efficient network design and…

Data Structures and Algorithms · Computer Science 2026-05-13 Jeffrey Bringolf , Anne-Laure Ehresmann , Hovhannes A. Harutyunyan

We propose distributed algorithms for two well-established problems that operate efficiently under extremely harsh conditions. Our algorithms achieve state-of-the-art performance in a simple and novel way. Our algorithm for maximal…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-19 Peter Jeavons , Alex Scott , Lei Xu

The capability of nodes to broadcast their message to the entire wireless network when nodes employ cooperation is considered. We employ an asymptotic analysis using an extended random network setting and show that the broadcast performance…

Information Theory · Computer Science 2015-03-19 Cagatay Capar , Dennis Goeckel , Don Towsley

We consider a network of nodes distributed in physical space without physical links communicating through message broadcasting over specified distances. Typically, communication using smaller distances is desirable due to savings in energy…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 May Lim , Dan Braha , Sanith Wijesinghe , Stephenson Tucker , Yaneer Bar-Yam

We consider distance labeling schemes for trees: given a tree with $n$ nodes, label the nodes with binary strings such that, given the labels of any two nodes, one can determine, by looking only at the labels, the distance in the tree…

Data Structures and Algorithms · Computer Science 2015-07-16 Stephen Alstrup , Inge Li Gørtz , Esben Bistrup Halvorsen , Ely Porat

For an arbitrary finite family of graphs, the distance labeling problem asks to assign labels to all nodes of every graph in the family in a way that allows one to recover the distance between any two nodes of any graph from their labels.…

Combinatorics · Mathematics 2023-08-30 Arseny M. Shur , Mikhail Rubinchik

We present succinct labeling schemes for answering connectivity queries in graphs subject to a specified number of vertex failures. An $f$-vertex/edge fault tolerant ($f$-V/EFT) connectivity labeling is a scheme that produces succinct…

Data Structures and Algorithms · Computer Science 2023-11-17 Merav Parter , Asaf Petruschka , Seth Pettie

In order to reduce the number of retransmissions and save power for the source node, we propose a two-phase coded scheme to achieve reliable broadcast from the source to a group of users with minimal source transmissions. In the first…

Information Theory · Computer Science 2015-06-26 Xiaoli Xu , Meenakshi Sundaram Gandhi Praveen Kumar , Yong Liang Guan

The \emph{$f$-fault-tolerant connectivity labeling} ($f$-FTC labeling) is a scheme of assigning each vertex and edge with a small-size label such that one can determine the connectivity of two vertices $s$ and $t$ under the presence of at…

Data Structures and Algorithms · Computer Science 2023-11-17 Taisuke Izumi , Yuval Emek , Tadashi Wadayama , Toshimitsu Masuzawa