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We show that under mild assumptions for a problem whose solutions admit a dynamic programming-like recurrence relation, we can still find a solution under additional packing constraints, which need to be satisfied approximately. The number…

Data Structures and Algorithms · Computer Science 2025-11-06 Etienne Bamas , Shi Li , Lars Rohwedder

This paper presents results on the typical number of simultaneous point-to-point transmissions above a minimum rate that can be sustained in a network with $n$ transmitter-receiver node pairs when all transmitting nodes can potentially…

Information Theory · Computer Science 2014-12-10 Hengameh Keshavarz , Ravi R. Mazumdar , Rahul Roy , Farshid Zoghalchi

We consider the problem of forming a distributed queue in the adversarial dynamic network model of Kuhn, Lynch, and Oshman (STOC 2010) in which the network topology changes from round to round but the network stays connected. This is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-21 Gokarna Sharma , Costas Busch

We present a near-optimal distributed algorithm for $(1+o(1))$-approximation of single-commodity maximum flow in undirected weighted networks that runs in $(D+ \sqrt{n})\cdot n^{o(1)}$ communication rounds in the \Congest model. Here, $n$…

Data Structures and Algorithms · Computer Science 2015-08-20 Mohsen Ghaffari , Andreas Karrenbauer , Fabian Kuhn , Christoph Lenzen , Boaz Patt-Shamir

Broadcasting concerns the dissemination of a message originating at one node of a network to all other nodes. This task is accomplished by placing a series of calls over the communication lines of the network between neighboring nodes,…

Combinatorics · Mathematics 2016-09-06 Michael J. Dinneen

We show that a large fraction of the data-structure lower bounds known today in fact follow by reduction from the communication complexity of lopsided (asymmetric) set disjointness. This includes lower bounds for: * high-dimensional…

Data Structures and Algorithms · Computer Science 2010-10-20 Mihai Patrascu

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 consider the problem of throughput-optimal broadcast- ing in time-varying wireless networks, whose underlying topology is restricted to Directed Acyclic Graphs (DAG). Previous broadcast algorithms route packets along spanning trees. In…

Information Theory · Computer Science 2016-04-05 Abhishek Sinha , Leandros Tassiulas , Eytan Modiano

In this paper we introduce and study the \textsc{StreamingCycles} problem, a random order streaming version of the Boolean Hidden Hypermatching problem that has been instrumental in streaming lower bounds over the past decade. In this…

Data Structures and Algorithms · Computer Science 2022-09-21 Ashish Chiplunkar , John Kallaugher , Michael Kapralov , Eric Price

Random linear network coding (RLNC) has been shown to efficiently improve the network performance in terms of reducing transmission delays and increasing the throughput in broadcast and multicast communications. However, it can result in…

Systems and Control · Computer Science 2016-10-25 Emmanouil Skevakis , Ioannis Lambadaris

We study the Directed Feedback Vertex Set problem parameterized by the treewidth of the input graph. We prove that unless the Exponential Time Hypothesis fails, the problem cannot be solved in time $2^{o(t\log t)}\cdot n^{\mathcal{O}(1)}$…

Data Structures and Algorithms · Computer Science 2017-09-15 Marthe Bonamy , Łukasz Kowalik , Jesper Nederlof , Michał Pilipczuk , Arkadiusz Socała , Marcin Wrochna

This paper presents an asynchronous distributed algorithm to manage multiple trees for peer-to-peer streaming in a flow level model. It is assumed that videos are cut into substreams, with or without source coding, to be distributed to all…

Data Structures and Algorithms · Computer Science 2013-08-12 Ji Zhu , Bruce Hajek

We consider a cognitive network consisting of n random pairs of cognitive transmitters and receivers communicating simultaneously in the presence of multiple primary users. Of interest is how the maximum throughput achieved by the cognitive…

Information Theory · Computer Science 2016-11-18 Mai Vu , Natasha Devroye , Masoud Sharif , Vahid Tarokh

Linial's seminal result shows that any deterministic distributed algorithm that finds a $3$-colouring of an $n$-cycle requires at least $\log^*(n)/2 - 1$ communication rounds. We give a new simpler proof of this theorem.

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-12 Juhana Laurinharju , Jukka Suomela

We study two fundamental communication primitives: broadcasting and leader election in the classical model of multi-hop radio networks with unknown topology and without collision detection mechanisms. It has been known for almost 20 years…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-07 Artur Czumaj , Peter Davies

We study randomized gossip-based processes in dynamic networks that are motivated by discovery processes in large-scale distributed networks like peer-to-peer or social networks. A well-studied problem in peer-to-peer networks is the…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-10 Bernhard Haeupler , Gopal Pandurangan , David Peleg , Rajmohan Rajaraman , Zhifeng Sun

In a directed graph $G$ with non-correlated edge lengths and costs, the \emph{network design problem with bounded distances} asks for a cost-minimal spanning subgraph subject to a length bound for all node pairs. We give a bi-criteria…

Data Structures and Algorithms · Computer Science 2014-09-24 Markus Chimani , Joachim Spoerhase

Linear upper bounds may be derived by imposing specific structural conditions on a generating set, such as additional constraints on ranks, eigenvalues, or the degree of the minimal polynomial of the generating matrices. This paper…

Rings and Algebras · Mathematics 2025-05-06 Chengjie Wang

We study the problem of tracking multiple moving targets using a team of mobile robots. Each robot has a set of motion primitives to choose from in order to collectively maximize the number of targets tracked or the total quality of…

Robotics · Computer Science 2019-05-31 Yoonchang Sung , Ashish Kumar Budhiraja , Ryan K. Williams , Pratap Tokekar

We consider distributed online learning protocols that control the exchange of information between local learners in a round-based learning scenario. The learning performance of such a protocol is intuitively optimal if approximately the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-02 Michael Kamp , Mario Boley , Michael Mock , Daniel Keren , Assaf Schuster , Izchak Sharfman
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