The Thinnest Path Problem

@article{Gao2015TheTP,
  title={The Thinnest Path Problem},
  author={Jianhang Gao and Qing Zhao and Ananthram Swami},
  journal={IEEE/ACM Transactions on Networking},
  year={2015},
  volume={23},
  pages={1176-1189}
}
We formulate and study the thinnest path problem for secure communication in wireless ad hoc networks. The objective is to find a path from a source to its destination that results in the minimum number of nodes overhearing the message by a judicious choice of relaying nodes and their corresponding transmission powers. We adopt a directed hypergraph model of the problem and establish the NP-completeness of the problem in 2-D networks. We then develop two polynomial-time approximation algorithms… 
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