A generalized cut-set bound for deterministic multi-flow networks and its applications

@article{Shomorony2014AGC,
  title={A generalized cut-set bound for deterministic multi-flow networks and its applications},
  author={Ilan Shomorony and Amir Salman Avestimehr},
  journal={2014 IEEE International Symposium on Information Theory},
  year={2014},
  pages={271-275}
}
We present a new outer bound for the sum capacity of general multi-unicast deterministic networks. Intuitively, this bound can be understood as applying the cut-set bound to concatenated copies of the original network with a special restriction on the allowed transmit signal distributions. We first study applications to finite-field networks, where we obtain a general outer-bound expression in terms of ranks of the transfer matrices. We then show that, even though our outer bound is for… 

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