The Complexity of the Residual Node Connectedness Reliability Problem

@article{Sutner1991TheCO,
  title={The Complexity of the Residual Node Connectedness Reliability Problem},
  author={Klaus Sutner and Appajosyula Satyanarayana and Charles L. Suffel},
  journal={SIAM J. Comput.},
  year={1991},
  volume={20},
  pages={149-155}
}
This paper considers a probabilistic network in which the edges are perfectly reliable but the nodes fail with some known probabilities. The network is in an operational state if the surviving nodes induce a connected graph. The residual node connectedness reliability $R(G)$ of a network G is the probability that the graph induced by the surviving nodes is connected. This reliability measure is very different from the widely studied K-terminal network reliability measure. It is proven that the… Expand
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