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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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 17 Sep 2017 My Price 6.00

convex layer

Convex layers

Given a set Q of points in the plane, we define the convex layers of Q inductively. The first convex layer of Q consists of those points in Q that are vertices of CH(Q). For i > 1, define Qi to consist of the points of Q with all points in convex layers 1, 2,..., i - 1 removed. Then, the ith convex layer of Q is CH(Qi) if Qi ≠ Ø and is undefined otherwise.

 

a. Give an O(n2)-time algorithm to find the convex layers of a set of n points.

b. Prove that Ω(n lg n) time is required to compute the convex layers of a set of n points with any model of computation that requires Ω(n lg n) time to sort n real numbers.

 

Answers

Maurice Tutor
(5)
Status NEW Posted 17 Sep 2017 09:09 AM My Price 6.00

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