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We consider the transmission of a state from the root of a tree towards its leaves, assuming that each transmission occurs through a noisy channel. The states at the leaves are observed, while at deeper nodes we can compute the likelihood…

Information Theory · Computer Science 2022-04-25 Cassius Manuel

A multi-hop synchronous wirelss network is said to be unknown if the nodes have no knowledge of the topology. A basic task in wireless network is that of broadcasting a message (created by a fixed source node) to all nodes of the network.…

Data Structures and Algorithms · Computer Science 2007-05-23 Andrea E. F. Clementi , Angelo Monti , Riccardo Silvestri

In this paper, we consider a broadcasting process in which information is propagated from a given root node on a noisy tree network, and answer the question that whether the symbols at the nth level of the tree contain non-vanishing…

Probability · Mathematics 2019-02-20 Wenjian Liu , Ning Ning

In this paper we improve the deterministic complexity of two fundamental communication primitives in the classical model of ad-hoc radio networks with unknown topology: broadcasting and wake-up. We consider an unknown radio network, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-19 Artur Czumaj , Peter Davies

A problem of practical and theoretical interest is to determine or estimate the diameter of various families of Cayley networks. The previously known estimate for the diameter of Cayley graphs generated by transposition trees is an upper…

Discrete Mathematics · Computer Science 2015-12-11 Ashwin Ganesan

In this article we compare the known dynamical polynomial time algorithm for the game-over attack strategy, to that of the brute force approach; of checking all the ordered rooted subtrees of a given tree that represents a given computer…

Combinatorics · Mathematics 2023-12-19 Geir Agnarsson , Elie Alhajjar , Aleyah Dawkins

We investigate the problem of disseminating broadcast messages in wireless networks with time-varying links from a percolation-based perspective. Using a model of wireless networks based on random geometric graphs with dynamic on-off links,…

Information Theory · Computer Science 2009-02-26 Zhenning Kong , Edmund M. Yeh

This paper considers fully dynamic graph algorithms with both faster worst case update time and sublinear space. The fully dynamic graph connectivity problem is the following: given a graph on a fixed set of n nodes, process an online…

Data Structures and Algorithms · Computer Science 2015-09-23 David Gibb , Bruce Kapron , Valerie King , Nolan Thorn

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

Broadcasting problem is an important issue in the wireless networks, especially in dynamic wireless networks. In dynamic wireless networks the node density and mobility is high, due to several problems which arise during broadcasting. Two…

Networking and Internet Architecture · Computer Science 2015-10-28 Ashima Goel , Debasis Das

We consider a dynamical linear network where nearest neighbours communicate via links whose states form binary (open/closed) valued independent and identically distributed Markov processes. Our main result is the tight information-theoretic…

Information Theory · Computer Science 2007-07-16 Oskari Ajanki , Antti Knowles

We present a randomized distributed algorithm that in radio networks with collision detection broadcasts a single message in $O(D+\log^2 n)$ time slots, with high probability. In view of the lower-bound $\Omega(D+\log^2 n)$, our algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-04 Ny Aina Andriambolamalala , Vlady Ravelomanana

Tree-based phylogenetic networks, which may be roughly defined as leaf-labeled networks built by adding arcs only between the original tree edges, have elegant properties for modeling evolutionary histories. We answer an open question of…

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

Dynamic trees are mixtures of tree structured belief networks. They solve some of the problems of fixed tree networks at the cost of making exact inference intractable. For this reason approximate methods such as sampling or mean field…

Machine Learning · Computer Science 2013-01-18 Amos J. Storkey

In the dynamic network model, the communication graph is assumed to be connected in every round but is otherwise arbitrary. We consider the related setting of $p$-partitioned dynamic networks, in which the communication graph in each round…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-08-05 Adam Sealfon , Aikaterini Sotiraki

We study information gathering in ad-hoc radio networks. Initially, each node of the network has a piece of information called a rumor, and the overall objective is to gather all these rumors in the designated target node. The ad-hoc…

Data Structures and Algorithms · Computer Science 2015-12-08 Marek Chrobak , Kevin P. Costello

The Min Energy broadcast problem consists in assigning transmission ranges to the nodes of an ad-hoc network in order to guarantee a directed spanning tree from a given source node and, at the same time, to minimize the energy consumption…

Data Structures and Algorithms · Computer Science 2008-04-25 Tiziana Calamoneri , Andrea E. F. Clementi , Angelo Monti , Gianluca Rossi , Riccardo Silvestri

As the use of wireless sensor networks increases, the need for efficient and reliable broadcasting algorithms grows. Ideally, a broadcasting algorithm should have the ability to quickly disseminate data, while keeping the number of…

Networking and Internet Architecture · Computer Science 2015-09-30 Thomas M. M. Meyfroyt , Sem C. Borst , Onno J. Boxma , Dee Denteneer

The goal of this paper is to increase our understanding of the fundamental performance limits of mobile and Delay Tolerant Networks (DTNs), where end-to-end multi-hop paths may not exist and communication routes may only be available…

Information Theory · Computer Science 2009-03-09 Philippe Jacquet , Bernard Mans , Georgios Rodolakis