Sidharth Jaggi, Peter Sanders, Philip A. Chou, Michelle Effros, Sebastian Egner, Kamal Jain, and Ludo M. G. M. Tolhuizen
The famous max-flow min-cut theorem states that a
source node can send information through a network (V,E) to
a sink node at a 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 re-encode the information they receive. We demonstrate
examples of networks where the achievable rates obtained by
coding at intermediate nodes are arbitrarily larger than if coding
is not allowed. We give deterministic polynomial time algorithms
and even faster randomized algorithms for designing linear codes
for directed acyclic graphs with edges of unit capacity. We extend
these algorithms to integer capacities and to codes that are tolerant
to edge failures.
|Published in||IEEE Trans. Information Theory|
|Publisher||Institute of Electrical and Electronics Engineers, Inc.|
© 2005 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.