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In the broadcasting problem on trees, a $\{-1,1\}$-message originating in an unknown node is passed along the tree with a certain error probability $q$. The goal is to estimate the original message without knowing the order in which the…

Probability · Mathematics 2025-09-12 Ernst Althaus , Lisa Hartung , Rebecca Steiner

A network of $n$ wireless communication links is considered in a Rayleigh fading environment. It is assumed that each link can be active and transmit with a constant power $P$ or remain silent. The objective is to maximize the number of…

Information Theory · Computer Science 2007-10-30 Masoud Ebrahimi , Amir K. Khandani

This paper concerns {\em randomized} leader election in synchronous distributed networks. A distributed leader election algorithm is presented for complete $n$-node networks that runs in O(1) rounds and (with high probability) uses only…

Data Structures and Algorithms · Computer Science 2013-05-16 Shay Kutten , Gopal Pandurangan , David Peleg , Peter Robinson , Amitabh Trehan

We study the problem of information gathering in ad-hoc radio networks without collision detection, focussing on the case when the network forms a tree, with edges directed towards the root. Initially, each node has a piece of information…

Data Structures and Algorithms · Computer Science 2014-07-08 Marek Chrobak , Kevin Costello , Leszek Gasieniec , Dariusz R. Kowalski

Motivated by questions in social networks, distributed computing and probabilistic combinatorics, the last few years have seen increasing interest in network evolution models where new vertices entering the system need to make decisions…

Probability · Mathematics 2025-10-22 Omer Angel , Shankar Bhamidi , Serte Donderwinkel , Neeladri Maitra , Akshay Sakanaveeti

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 consider the problem of self-healing in peer-to-peer networks that are under repeated attack by an omniscient adversary. We assume that the following process continues for up to n rounds where n is the total number of nodes initially in…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-02-15 Tom Hayes , Navin Rustagi , Jared Saia , Amitabh Trehan

This work addresses the problem of deriving fundamental trade-off bounds for a 1-relay and a 2-relay wireless network when multiple performance criteria are of interest. It proposes a simple MultiObjective (MO) performance evaluation…

Networking and Internet Architecture · Computer Science 2012-11-15 Qi Wang , Katia Jaffrès-Runser , Claire Goursaud , Jean-Marie Gorce

In this paper we study the time complexity of the single-source reachability problem and the single-source shortest path problem for directed unweighted graphs in the Broadcast CONGEST model. We focus on the case where the diameter $D$ of…

Data Structures and Algorithms · Computer Science 2019-10-15 Shiri Chechik , Doron Mukhtar

This work investigates the maximum broadcast throughput and its achievability in multi-hop wireless networks with half-duplex node constraint. We allow the use of physical-layer network coding (PNC). Although the use of PNC for unicast has…

Information Theory · Computer Science 2013-08-06 Shen Feng , Soung C. Liew

We consider minimum time multicasting problems in directed and undirected graphs: given a root node and a subset of $t$ terminal nodes, multicasting seeks to find the minimum number of rounds within which all terminals can be informed with…

Data Structures and Algorithms · Computer Science 2026-05-01 Daniel Hathcock , Guy Kortsarz , R. Ravi

We study the complexity of finding communication trees with the lowest possible completion time for rooted, irregular gather and scatter collective communication operations in fully connected, $k$-ported communication networks under a…

Computational Complexity · Computer Science 2018-11-28 Jesper Larsson Träff

Searching for a line on the plane with $n$ unit speed robots is a classic online problem that dates back to the 50's, and for which competitive ratio upper bounds are known for every $n\geq 1$. In this work we improve the best lower bound…

Discrete Mathematics · Computer Science 2020-01-14 Sumi Acharjee , Konstantinos Georgiou , Somnath Kundu , Akshaya Srinivasan

Communication networks often rely on some form of local failover rules for fast forwarding decisions upon link failures. While on undirected networks, up to two failures can be tolerated, when just matching packet origin and destination, on…

Data Structures and Algorithms · Computer Science 2026-03-02 Erik van den Akker , Klaus-Tycho Foerster

We study the low-degree hardness of broadcasting on trees. Broadcasting on trees has been extensively studied in statistical physics, in computational biology in relation to phylogenetic reconstruction and in statistics and computer science…

Probability · Mathematics 2024-02-22 Han Huang , Elchanan Mossel

We develop techniques to prove lower bounds for the BCAST(log n) Broadcast Congested Clique model (a distributed message passing model where in each round, each processor can broadcast an O(log n)-sized message to all other processors). Our…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-21 Lijie Chen , Ofer Grossman

We consider the local broadcasting problem in the SINR model, which is a basic primitive for gathering initial information among $n$ wireless nodes. Assuming that nodes can measure received power, we achieve an essentially optimal constant…

Networking and Internet Architecture · Computer Science 2012-10-18 Magnus M. Halldorsson , Pradipta Mitra

This paper investigates the performance of streaming codes in low-latency applications over a multi-link three-node relayed network. The source wishes to transmit a sequence of messages to the destination through a relay. Each message must…

Information Theory · Computer Science 2022-01-19 Gustavo Kasper Facenda , Elad Domanovitz , Ashish Khisti , Wai-Tian Tan , John Apostolopoulos

We present a new approximation algorithm for the treewidth problem which finds an upper bound on the treewidth and constructs a corresponding tree decomposition as well. Our algorithm is a faster variation of Reed's classical algorithm. For…

Data Structures and Algorithms · Computer Science 2022-06-24 Mahdi Belbasi , Martin Fürer

We consider the indirect covering subtree problem (Kim et al., 1996). The input is an edge weighted tree graph along with customers located at the nodes. Each customer is associated with a radius and a penalty. The goal is to locate a…

Data Structures and Algorithms · Computer Science 2010-02-03 Joachim Spoerhase