# 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}
}
• Published 15 May 2013
• Computer Science
• IEEE/ACM Transactions on Networking
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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