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Many networked systems are governed by non-pairwise interactions between nodes. The resulting higher-order interaction structure can then be encoded by means of a hypernetwork. In this paper we consider dynamical systems on hypernetworks by…

Dynamical Systems · Mathematics 2023-08-11 Sören von der Gracht , Eddie Nijholt , Bob Rink

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

Optimization and Control · Mathematics 2013-07-30 Michal Kocvara

We introduce a formal framework to study the multiple unicast problem for a coded network in which the network code is linear over a finite field and fixed. We show that the problem corresponds to an interference alignment problem over a…

Information Theory · Computer Science 2023-09-11 F. R. Kschischang , F. Manganiello , A. Ravagnani , K. Savary

Any properly designed network coding technique can result in increased throughput and reliability of multi-hop wireless networks by taking advantage of the broadcast nature of wireless medium. In many inter-flow network coding schemes nodes…

Networking and Internet Architecture · Computer Science 2018-05-04 Nastooh Taheri Javan , Masoud Sabaei , Mehdi Dehghan

We present a capacity-achieving coding scheme for unicast or multicast over lossy packet networks. In the scheme, intermediate nodes perform additional coding yet do not decode nor even wait for a block of packets before sending out coded…

Information Theory · Computer Science 2008-04-11 Desmond S. Lun , Muriel Medard , Ralf Koetter , Michelle Effros

We construct a joint coordination-channel polar coding scheme for strong coordination of actions between two agents $\mathsf X$ and $\mathsf Y$, which communicate over a discrete memoryless channel (DMC) such that the joint distribution of…

Information Theory · Computer Science 2018-08-16 Sarah A. Obead , Jörg Kliewer , Badri N. Vellambi

We consider the problem of error control in a coded, multicast network, focusing on the scenario where the errors can occur only on a proper subset of the network edges. We model this problem via an adversarial noise, presenting a formal…

Information Theory · Computer Science 2022-05-31 Allison Beemer , Altan Berdan Kilic , Alberto Ravagnani

This paper studies low-latency streaming codes for the multi-hop network. The source is transmitting a sequence of messages (streaming messages) to a destination through a chain of relays where each hop is subject to packet erasures. Every…

Information Theory · Computer Science 2020-06-11 Elad Domanovitz , Ashish Khisti , Wai-Tian Tan , Xiaoqing Zhu , John Apostolopoulos

Underwater optical wireless links have limited range and intermittent connectivity due to the hostile aquatic channel impairments and misalignment between the optical transceivers. Therefore, multi-hop communication can expand the…

Networking and Internet Architecture · Computer Science 2018-11-29 Nasir Saeed , Abdulkadir Celik , Mohamed-Slim Alouini , Tareq Y. Al-Naffouri

We consider the problem of robustness in large consensus networks that occur in many areas such as distributed optimization. Robustness, in this context, is the scaling of performance measures, e.g. H2-norm, as a function of network…

Systems and Control · Computer Science 2018-02-27 Tuhin Sarkar , Mardavij Roozbehani , Munther A. Dahleh

Studying the capacity of wireless multi-hop networks is an important problem and extensive research has been done in the area. In this letter, we sift through various capacity-impacting parameters and show that the capacity of both static…

Networking and Internet Architecture · Computer Science 2012-07-06 Guoqiang Mao

This paper focuses on a particular transmission scheme called local network coding, which has been reported to provide significant performance gains in practical wireless networks. The performance of this scheme strongly depends on the…

Networking and Internet Architecture · Computer Science 2015-03-17 Petteri Mannersalo , Georgios S. Paschos , Lazaros Gkatzikis

In this Rapid Communication we investigate spatially constrained networks that realize optimal synchronization properties. After arguing that spatial constraints can be imposed by limiting the amount of `wire' available to connect nodes…

Adaptation and Self-Organizing Systems · Physics 2015-05-18 Markus Brede

Sampling random nodes is a fundamental algorithmic primitive in the analysis of massive networks, with many modern graph mining algorithms critically relying on it. We consider the task of generating a large collection of random nodes in…

Social and Information Networks · Computer Science 2021-10-27 Omri Ben-Eliezer , Talya Eden , Joel Oren , Dimitris Fotakis

This paper proposes a methodology for optimizing a frequency-hopping network that uses continuous-phase frequency-shift keying and adaptive capacity-approaching channel coding. The optimization takes into account the spatial distribution of…

Information Theory · Computer Science 2015-08-25 Salvatore Talarico , Matthew C. Valenti , Don Torrieri

As a representative of a complex technological system, so-called wireless multihop ad hoc communication networks are discussed. They represent an infrastructure-less generalization of todays wireless cellular phone networks. Lacking a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wolfram Krause , Ingmar Glauche , Rudolf Sollacher , Martin Greiner

We consider a decentralised multi-access algorithm, motivated primarily by the control of transmissions in a wireless network. For a finite single-hop network with arbitrary interference constraints we prove stochastic stability under the…

Information Theory · Computer Science 2019-06-03 Seva Shneer , Alexander Stolyar

In the load balancing problem, each node in a network is assigned a load, and the goal is to equally distribute the loads among the nodes, by preforming local load exchanges. While load balancing was extensively studied in static networks,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-28 Seth Gilbert , Uri Meir , Ami Paz , Gregory Schwartzman

A node equipped with a multi-beam antenna can achieve a throughput of up to m times as compared to a single-beam antenna, by simultaneously communicating on its m non-interfering beams. However, the existing multi-beam medium access control…

Networking and Internet Architecture · Computer Science 2022-10-12 Shivam Garg , Nandini Venkatraman , Elizabeth Serena Bentley , Sunil Kumar

Efficient communication in wireless networks is typically challenged by the possibility of interference among several transmitting nodes. Much important research has been invested in decreasing the number of collisions in order to obtain…

Networking and Internet Architecture · Computer Science 2012-08-31 Keren Censor-Hillel , Bernhard Haeupler , Nancy Lynch , Muriel Médard
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