### Abstract

The linear deterministic model has been used recently to get a first order understanding of many wireless communication network problems [1][3][4][8]. In many of these cases, it has been pointed out that the capacity regions of the network and its reciprocal (where the communication links are reversed and the roles of the sources and the destinations are swapped) are the same. In this paper, we consider a linear deterministic communication network with multiple unicast information flows. For this model and under the restriction to the class of linear coding, we show that the rate regions for a network and its reciprocal are the same. This can be viewed as a generalization of the linear reversibility of wireline networks, already known in the network coding literature [10].

Original language | English (US) |
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Title of host publication | Proceedings - 2009 IEEE Information Theory Workshop on Networking and Information Theory, ITW 2009 |

Pages | 321-325 |

Number of pages | 5 |

DOIs | |

State | Published - Dec 1 2009 |

Event | 2009 IEEE Information Theory Workshop on Networking and Information Theory, ITW 2009 - Volos, Greece Duration: Jun 10 2009 → Jun 12 2009 |

### Publication series

Name | Proceedings - 2009 IEEE Information Theory Workshop on Networking and Information Theory, ITW 2009 |
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### Other

Other | 2009 IEEE Information Theory Workshop on Networking and Information Theory, ITW 2009 |
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Country | Greece |

City | Volos |

Period | 6/10/09 → 6/12/09 |

### ASJC Scopus subject areas

- Computer Networks and Communications
- Information Systems
- Communication

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## Cite this

*Proceedings - 2009 IEEE Information Theory Workshop on Networking and Information Theory, ITW 2009*(pp. 321-325). [5158595] (Proceedings - 2009 IEEE Information Theory Workshop on Networking and Information Theory, ITW 2009). https://doi.org/10.1109/ITWNIT.2009.5158595