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We consider network coding rates for directed and undirected $k$-pairs networks. For directed networks, meagerness is known to be an upper bound on network coding rates. We show that network coding rate can be $\Theta(|V|)$ multiplicative…

信息论 · 计算机科学 2008-05-02 Ali Al-Bashabsheh , Abbas Yongacoglu

In this paper we close the gap between end-to-end diversity coding and intra-session network coding for unicast connections resilient against single link failures. In particular, we show that coding operations are sufficient to perform at…

信息论 · 计算机科学 2014-09-15 Peter Babarczi , Janos Tapolcai , Lajos Ronyai , Muriel Medard

Driven by the need for better models that allow one to shed light into the question how life's diversity has evolved, phylogenetic networks have now joined phylogenetic trees in the center of phylogenetics research. Like phylogenetic trees,…

组合数学 · 数学 2016-10-04 Philippe Gambette , Katharina T. Huber

Designing networks with specified collective properties is useful in a variety of application areas, enabling the study of how given properties affect the behavior of network models, the downscaling of empirical networks to workable sizes,…

We study the problem of communicating over a single-source single-terminal network in the presence of an adversary that may jam a single link of the network. If any one of the edges can be jammed, the capacity of such networks is well…

信息论 · 计算机科学 2014-10-09 Wentao Huang , Tracey Ho , Michael Langberg , Joerg Kliewer

We present a framework to study linear deterministic interference networks over finite fields. Unlike the popular linear deterministic models introduced to study Gaussian networks, we consider networks where the channel coefficients are…

信息论 · 计算机科学 2013-08-06 Song-Nam Hong , Giuseppe Caire

We investigate the achievable rate of data transmission from sources to sinks through a multiple-relay network. We study achievable rates for omniscient coding, in which all nodes are considered in the coding design at each node. We find…

信息论 · 计算机科学 2010-04-15 Lawrence Ong , Mehul Motani

We consider the canonical {\em shared link network} formed by a source node, hosting a library of $m$ information messages (files), connected via a noiseless common link to $n$ destination nodes (users), each with a cache of size M files.…

信息论 · 计算机科学 2015-02-12 Mingyue Ji , Antonia M. Tulino , Jaime Llorca , Giuseppe Caire

This paper considers the multiple-access relay channel in a setting where two source nodes transmit packets to a destination node, both directly and via a relay node, over packet erasure channels. Intra-session network coding is used at the…

信息论 · 计算机科学 2022-03-08 Amjad Saeed Khan , Ioannis Chatzigeorgiou

We consider a simple network, where a source and destination node are connected with a line of erasure channels. It is well known that in order to achieve the min-cut capacity, the intermediate nodes are required to process the information.…

信息论 · 计算机科学 2016-11-17 Payam Pakzad , Christina Fragouli , Amin Shokrollahi

The problem of maximizing the average rate in a multicast network subject to a coverage constraint (minimum quality of service) is studied. Assuming the channel state information is available only at the receiver side and single antenna…

信息论 · 计算机科学 2008-05-29 Seyed Reza Mirghaderi , Alireza Bayesteh , Amir K. Khandani

The problem of two-sender unicast index coding consists of two senders and a set of receivers. Each receiver demands a unique message and possesses some of the messages demanded by other receivers as its side-information. Every demanded…

信息论 · 计算机科学 2019-02-14 Chinmayananda Arunachala , Vaneet Aggarwal , B. Sundar Rajan

Random linear network code has to sacrifice part of bandwidth to transfer the coding vectors, thus a head of size k log|T| is appended to each packet. We present a distributed random network coding approach based on the Chinese remainder…

信息论 · 计算机科学 2012-08-21 Zhifang Zhang

A sum-network is a directed acyclic network in which all terminal nodes demand the `sum' of the independent information observed at the source nodes. Many characteristics of the well-studied multiple-unicast network communication problem…

信息论 · 计算机科学 2015-04-23 Ardhendu Tripathy , Aditya Ramamoorthy

We present a formal model to represent and solve the unicast/multicast routing problem in networks with Quality of Service (QoS) requirements. To attain this, first we translate the network adapting it to a weighted graph (unicast) or…

计算机科学中的逻辑 · 计算机科学 2009-09-29 Stefano Bistarelli , Ugo Montanari , Francesca Rossi , Francesco Santini

The first result is on the separability of the unicast capacity of stationary multi-channel multi-radio wireless networks, i.e., whether the capacity of such a network is equal to the sum of the capacities of the corresponding…

信息论 · 计算机科学 2009-12-26 Liangping Ma

Consider a composite unicast relay network where the channel statistic is randomly drawn from a set of conditional distributions indexed by a random variable, which is assumed to be unknown at the source, fully known at the destination and…

信息论 · 计算机科学 2012-05-23 Arash Behboodi , Pablo Piantanida

In this work we improve on the bounds presented by Li&Li for network coding gain in the undirected case. A tightened bound for the undirected multicast problem with three terminals is derived. An interesting result shows that with…

信息论 · 计算机科学 2016-11-18 Ali Al-Bashabsheh , Abbas Yongacoglu

We propose a simple yet effective wireless network coding and decoding technique. It utilizes spatial diversity through cooperation between nodes which carry out distributed encoding operations dictated by generator matrices of linear block…

信息论 · 计算机科学 2016-11-17 Tugcan Aktas , Ali Ozgur Yilmaz , Emre Aktas

Index coding, or broadcasting with side information, is a network coding problem of most fundamental importance. In this problem, given a directed graph, each vertex represents a user with a need of information, and the neighborhood of each…

信息论 · 计算机科学 2016-05-02 Abhishek Agarwal , Arya Mazumdar