scholarly journals On the Problem of Finding "Sets Ensuring Linearly Independent Transversals" (SELIT), and its Application to Network Coding

Author(s):  
Hirah Malik ◽  
Cedric Adjih ◽  
Michel Kieffer ◽  
Claudio Weidmann
2015 ◽  
Vol 52 (3) ◽  
pp. 350-370
Author(s):  
Jaroslav Hančl ◽  
Katarína Korčeková ◽  
Lukáš Novotný

We introduce the two new concepts, productly linearly independent sequences and productly irrational sequences. Then we prove a criterion for which certain infinite sequences of rational numbers are productly linearly independent. As a consequence we obtain a criterion for the irrationality of infinite products and a criterion for a sequence to be productly irrational.


2012 ◽  
Vol E95.B (5) ◽  
pp. 1738-1750 ◽  
Author(s):  
Keiichi MIZUTANI ◽  
Takehiro MIYAMOTO ◽  
Kei SAKAGUCHI ◽  
Kiyomichi ARAKI
Keyword(s):  

2013 ◽  
Vol E96.B (12) ◽  
pp. 3116-3123
Author(s):  
Zhiheng ZHOU ◽  
Liang ZHOU ◽  
Shengqiang LI

Author(s):  
N. Lavanya ◽  
M. Balakrishna

Network coding is a data transmission technique which allows intermediate nodes in a network to re-code data in transit. In contrast to traditional network communication where a node repeats incoming data to its outgoing channel without modifying the payload, a node implementing network coding not only repeats but also alters data. Network coding has been demonstrated to increase network throughput compared to the traditional forwarding transmission. It has potentially broad applications in many areas, including traditional computer networks, wireless ad-hoc networks, and peer to peer systems. This paper process a new technique for file sharing in P2P.


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