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We consider the problem of computing the capacity of a coded, multicast network over a small alphabet. We introduce a novel approach to this problem based on mixed integer programming. As an application of our approach, we recover, extend…

Information Theory · Computer Science 2022-12-15 Christopher Hojny , Altan B. Kilic , Alberto Ravagnani

In Index coding there is a single sender with multiple messages and multiple receivers each wanting a different set of messages and knowing a different set of messages a priori. The Index Coding problem is to identify the minimum number of…

Information Theory · Computer Science 2015-04-21 Kavitha. R , B. Sundar Rajan

In this paper, we introduce novel coding schemes for wireless networks with random transmission delays. These coding schemes obviate the need for synchronicity, reduce the number of transmissions and achieve the optimal rate region in the…

Information Theory · Computer Science 2015-03-04 Niv Voskoboynik , Haim H. Permuter , Asaf Cohen

We investigate cooperative wireless relay networks in which the nodes can help each other in data transmission. We study different coding strategies in the single-source single-destination network with many relay nodes. Given the myriad of…

Information Theory · Computer Science 2010-04-15 Lawrence Ong , Mehul Motani

This paper concerns with the construction of codes over $GF(2)$ which reach the max-flow for single source multicast acyclic networks with delay. The coding is always a bitwise XOR of packets with equal lengths, and is based on highly…

Information Theory · Computer Science 2020-02-14 Katina Kralevska , Danilo Gligoroski , Harald Oeverby

When two or more users in a wireless network transmit simultaneously, their electromagnetic signals are linearly superimposed on the channel. As a result, a receiver that is interested in one of these signals sees the others as unwanted…

Information Theory · Computer Science 2011-03-01 Bobak Nazer , Michael Gastpar

This paper studies the 1-2-1 half-duplex network model, where two half-duplex nodes can communicate only if they point `beams' at each other; otherwise, no signal can be exchanged or interference can be generated. The main result of this…

Information Theory · Computer Science 2019-01-11 Yahya H. Ezzeldin , Martina Cardone , Christina Fragouli , Giuseppe Caire

This paper considers the problem of energy-efficient transmission in multi-flow multihop cooperative wireless networks. Although the performance gains of cooperative approaches are well known, the combinatorial nature of these schemes makes…

Networking and Internet Architecture · Computer Science 2012-02-28 Marjan Baghaie , Dorit S. Hochbaum , Bhaskar Krishnamachari

This paper considers the problem of network coding for multiple unicast connections in networks represented by directed acyclic graphs. The concept of interference alignment, traditionally used in interference networks, is extended to…

Information Theory · Computer Science 2010-08-03 Abhik Das , Sriram Vishwanath , Syed Jafar , Athina Markopoulou

Many problems of interest for cyber-physical network systems can be formulated as Mixed Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithm to solve this class…

Optimization and Control · Mathematics 2017-12-06 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

We present a study of the application of a variant of a recently introduced heuristic algorithm for the optimization of transport routes on complex networks to the problem of finding the optimal routes of communication between nodes on…

Physics and Society · Physics 2009-11-13 Yong Yu , Bogdan Danila , John A. Marsh , Kevin E. Bassler

We consider the scenario of broadcasting for real-time applications and loss recovery via instantly decodable network coding. Past work focused on minimizing the completion delay, which is not the right objective for real-time applications…

Networking and Internet Architecture · Computer Science 2014-05-14 Anh Le , Arash S. Tehrani , Alexandros G. Dimakis , Athina Markopoulou

Signal-time coding, which combines the traditional encoding/modulation mode in the signal domain with signal pulse phase modulation in the time domain, was proposed to improve the information flow rate in relay networks. In this paper, we…

Information Theory · Computer Science 2009-07-13 Pingyi Fan , Pei Sun , Khaled Ben Letaief

In this paper, we provide polynomial-time algorithms for different extensions of the matching counting problem, namely maximal matchings, path matchings (linear forest) and paths, on graph classes of bounded clique-width. For maximal…

Discrete Mathematics · Computer Science 2018-06-05 Benjamin Hellouin de Menibus , Takeaki Uno

We study augmenting a plane Euclidean network with a segment, called a shortcut, to minimize the largest distance between any two points along the edges of the resulting network. Problems of this type have received considerable attention…

Computational Geometry · Computer Science 2018-07-27 Delia Garijo , Alberto Márquez , Natalia Rodríguez , Rodrigo I. Silveira

In this paper queue stability in a single-hop wireless multicast networks over erasure channels is analyzed. First, a queuing model consisting of several sub-queues is introduced. Under the queueing stability constraint, we adopt Lyapunov…

Information Theory · Computer Science 2016-12-01 Nadieh Moghadam , Mohammad Mohebbi , Hongxiang Li

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

Network coding has proved its efficiency in increasing the network performance for traditional ad-hoc networks. In this paper, we investigate using network coding for enhancing the throughput of multi-hop cognitive radio networks. We…

Networking and Internet Architecture · Computer Science 2014-08-12 Arsany Guirguis , Raymond Guirguis , Moustafa Youssef

The problem of finding network codes for general connections is inherently difficult in capacity constrained networks. Resource minimization for general connections with network coding is further complicated. Existing methods for…

Information Theory · Computer Science 2016-07-05 Ying Cui , Muriel Médard , Fan Lai , Edmund Yeh , Douglas Leith , Ken Duffy , Dhaivat Pandya

Network coding permits to deploy distributed packet delivery algorithms that locally adapt to the network availability in media streaming applications. However, it may also increase delay and computational complexity if it is not…

Multimedia · Computer Science 2016-11-17 Nicolae Cleju , Nikolaos Thomos , Pascal Frossard