Title
Polynomial time algorithms for network information flow
Abstract
The famous max-flow min-cut theorem states that a source node s can send information through a network (V,E) to a sink node t at a data rate determined by the min-cut separating s and t. Recently it has been shown that this rate can also be achieved for multicasting to several sinks provided that the intermediate nodes are allowed to reencode the information they receive. In contrast, we present graphs where without coding the rate must be a factor Ω(log|V|) smaller. However, so far no fast algorithms for constructing appropriate coding schemes were known. Our main result are polynomial time algorithms for constructing coding schemes for multicasting at the maximal data rate.
Year
DOI
Venue
2003
10.1145/777412.777464
SPAA
Keywords
Field
DocType
main result,intermediate node,coding scheme,sink node,network information flow,famous max-flow min-cut theorem,polynomial time algorithm,fast algorithm,data rate,source node,appropriate coding scheme,maximal data rate,linear algebra,coding,finite field,information flow,randomized algorithm,multicasting,communication
Linear network coding,Linear algebra,Information flow (information theory),Randomized algorithm,Finite field,Computer science,Algorithm,Coding (social sciences),Multicast,Time complexity,Distributed computing
Conference
ISBN
Citations 
PageRank 
1-58113-661-7
127
124.24
References 
Authors
10
3
Search Limit
100127
Name
Order
Citations
PageRank
Peter Sanders1127124.24
Sebastian Egner2158132.06
Ludo Tolhuizen3166134.16