Maurice Tutor

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Teaching Since: May 2017
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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 27 Aug 2017 My Price 6.00

black-box algorithm

Suppose that someone gives you a black-box algorithm A that takes an undirected graph G = (V, E), and a number k, and behaves as follows.

. If G is not connected, it simply returns “G is not connected.”

. If G is connected and has an independent set of size at least k, it returns “yes.”

. If G is connected and does not have an independent set of size at least k, it returns “no.”

Suppose that the algorithm A runs in time polynomial in the size of G and k.

Show how, using calls to A, you could then solve the Independent Set Problem in polynomial time: Given an arbitrary undirected graph G, and a number k, does G contain an independent set of size at least k?

Answers

(5)
Status NEW Posted 27 Aug 2017 11:08 PM My Price 6.00

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