Improved Approximation Algorithms for Relay Placement

  title={Improved Approximation Algorithms for Relay Placement},
  author={Alon Efrat and S{\'a}ndor P. Fekete and Joseph B. M. Mitchell and Valentin Polishchuk and Jukka Suomela},
  journal={ACM Transactions on Algorithms (TALG)},
  pages={1 - 28}
In the relay placement problem, the input is a set of sensors and a number r ⩾ 1, the communication range of a relay. In the one-tier version of the problem, the objective is to place a minimum number of relays so that between every pair of sensors there is a path through sensors and/or relays such that the consecutive vertices of the path are within distance r if both vertices are relays and within distance 1 otherwise. The two-tier version adds the restrictions that the path must go through… 

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