Journal
IEEE TRANSACTIONS ON INFORMATION THEORY
Volume 53, Issue 11, Pages 4339-4349Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2007.907345
Keywords
information networks; linear algebra; network coding; multiple unicast networks; nonlinear network coding; path integral
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It is shown that there exist information networks where messages can be sent (utilizing Network Coding) more easily in one direction than in the opposite direction. This is valid even though each channel is' assumed to have the same capacity in both directions. It is shown that irreversible information networks only have solutions that use nonlinear Network Coding. This correspondence argues that this result is more surprising than it might appear at first sight and that it follows using ideas resembling the path integral in Quantum Mechanics.
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