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WALCOM

2010

IEEE

2010

IEEE

We address a version of the set-cover problem where we do not know the sets initially (and hence referred to as covert) but we can query an element to ﬁnd out which sets contain this element as well as query a set to know the elements. We want to ﬁnd a small set-cover using a minimal number of such queries. We present a Monte Carlo randomized algorithm that approximates an optimal set-cover of size OPT within O(log N) factor with high probability using O(OPT · log2 N) queries where N is the number of element in the universal set. We apply this technique to the network discovery problem that involves certifying all the edges and non-edges of an unknown n-vertices graph based on layered-graph queries from a minimal number of vertices. By reducing it to the covert set-cover problem we present an O(log2 n)competitive Monte Carlo randomized algorithm for the covert version of network discovery problem. The previously best known algorithm has a competitive ratio of Ω( √ n log n) and...

Related Content

Added |
14 May 2010 |

Updated |
14 May 2010 |

Type |
Conference |

Year |
2010 |

Where |
WALCOM |

Authors |
Sandeep Sen, V. N. Muralidhara |

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