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Broadcasting on trees is a fundamental model from statistical physics that plays an important role in information theory, noisy computation and phylogenetic reconstruction within computational biology and linguistics. While this model…

Probability · Mathematics 2025-11-18 Han Huang , Elchanan Mossel

We use network coding to improve the speed of distributed computation in the dynamic network model of Kuhn, Lynch and Oshman [STOC '10]. In this model an adversary adaptively chooses a new network topology in every round, making even basic…

Data Structures and Algorithms · Computer Science 2011-04-14 Bernhard Haeupler , David Karger

We present the first fixed-parameter algorithm for constructing a tree-child phylogenetic network that displays an arbitrary number of binary input trees and has the minimum number of reticulations among all such networks. The algorithm…

Discrete Mathematics · Computer Science 2019-07-22 Leo van Iersel , Remie Janssen , Mark Jones , Yukihiro Murakami , Norbert Zeh

In this paper, we delve into the computations performed at a node within a message-passing algorithm. We investigate low complexity/latency multi-input structures that can be adopted by the node for computing outgoing messages y = (y1, y2,…

Information Theory · Computer Science 2024-07-15 Teng Lu , Xuan He , Xiaohu Tang

The Signal-to-Interference-and-Noise-Ratio (SINR) physical model is one of the legitimate models of wireless networks. Despite of the vast amount of study done in design and analysis of centralized algorithms supporting wireless…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-07-17 Tomasz Jurdzinski , Dariusz R. Kowalski

To find a shortest path between two nodes $s_0$ and $s_1$ in a given graph, a classical approach is to start a Breadth-First Search (BFS) from $s_0$ and run it until the search discovers $s_1$. Alternatively, one can start two Breadth-First…

Social and Information Networks · Computer Science 2024-10-30 Sacha Cerf , Benjamin Dayan , Umberto De Ambroggio , Marc Kaufmann , Johannes Lengler , Ulysse Schaller

Multicast allows sending a message to multiple recipients without having to create and send a separate message for each recipient. This preserves network bandwidth, which is particularly important in time-sensitive networks. These networks…

Networking and Internet Architecture · Computer Science 2025-10-24 Heiko Geppert , Frank Dürr , Simon Naß , Kurt Rothermel

This paper studies robust resource allocation algorithm design for a multiuser multiple-input single-output (MISO) cognitive radio (CR) downlink communication network. We focus on a secondary system which provides unicast secure wireless…

Information Theory · Computer Science 2016-11-15 Derrick Wing Kwan Ng , Mohammad Shaqfeh , Robert Schober , Hussein Alnuweiri

We give optimally fast $O(\log p)$ time (per processor) algorithms for computing round-optimal broadcast schedules for message-passing parallel computing systems. This affirmatively answers the questions posed in Tr\"aff (2022). The problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-03 Jesper Larsson Träff

Network coding is famous for significantly improving the throughput of networks. The successful decoding of the network coded data relies on some side information of the original data. In that framework, independent data flows are usually…

Networking and Internet Architecture · Computer Science 2015-05-22 Zhengchuan Chen , Ke Xiong , Pingyi Fan , Chen Chen

Massive MIMO system yields significant improvements in spectral and energy efficiency for future wireless communication systems. The regularized zero-forcing (RZF) beamforming is able to provide good performance with the capability of…

Information Theory · Computer Science 2020-03-31 Hayoung Choi , Tao Jiang , Yuanming Shi , Xuan Liu , Khaled B. Letaief

The Beeping Network (BN) model captures important properties of biological processes. Paradoxically, the extremely limited communication capabilities of such nodes has helped BN become one of the fundamental models for networks. Since in…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-20 Pawel Garncarek , Dariusz R. Kowalski , Shay Kutten , Miguel A. Mosteiro

We consider an information dissemination problem where the root of an undirected graph constantly updates its information. The goal is to keep every other node in the graph about the root as freshly informed as possible. Our synchronous…

Social and Information Networks · Computer Science 2022-07-18 Da Qi Chen , Lin An , Aidin Niaparast , R. Ravi , Oleksandr Rudenko

We present a new algorithm for generating a uniformly random spanning tree in an undirected graph. Our algorithm samples such a tree in expected $\tilde{O}(m^{4/3})$ time. This improves over the best previously known bound of…

Data Structures and Algorithms · Computer Science 2017-03-16 Aleksander Madry , Damian Straszak , Jakub Tarnawski

We propose an algorithm for distributed optimization over time-varying communication networks. Our algorithm uses an optimized ratio between the number of rounds of communication and gradient evaluations to achieve fast convergence. The…

Optimization and Control · Mathematics 2020-01-08 Bryan Van Scoy , Laurent Lessard

The problem of finding a spanning forest of a graph in a distributed-processing environment is studied. If an input graph is weighted, then the goal is to find a minimum-weight spanning forest. The processors communicate by broadcasting.…

Data Structures and Algorithms · Computer Science 2018-01-03 Bogdan S. Chlebus , Karol Golab , Dariusz R. Kowalski

Graph spanners are fundamental graph structures with a wide range of applications in distributed networks. We consider a standard synchronous message passing model where in each round $O(\log n)$ bits can be transmitted over every edge (the…

Data Structures and Algorithms · Computer Science 2017-08-15 Ofer Grossman , Merav Parter

We address the problem of minimizing power consumption when performing reliable broadcast on a radio network under the following popular model. Each node in the network is located on a point in a two dimensional grid, and whenever a node…

Data Structures and Algorithms · Computer Science 2007-10-15 Valerie King , Cynthia Phillips , Jared Saia , Maxwell Young

In this paper we describe an algorithm that embeds a graph metric $(V,d_G)$ on an undirected weighted graph $G=(V,E)$ into a distribution of tree metrics $(T,D_T)$ such that for every pair $u,v\in V$, $d_G(u,v)\leq d_T(u,v)$ and…

Data Structures and Algorithms · Computer Science 2017-05-29 Guy E. Blelloch , Yan Gu , Yihan Sun

Analyzing massive complex networks yields promising insights about our everyday lives. Building scalable algorithms to do so is a challenging task that requires a careful analysis and an extensive evaluation. However, engineering such…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-19 Daniel Funke , Sebastian Lamm , Ulrich Meyer , Peter Sanders , Manuel Penschuck , Christian Schulz , Darren Strash , Moritz von Looz
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