Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 17 Sep 2017 My Price 7.00

Alternative implementation of deletion

Alternative implementation of deletion

Professor Pisano has proposed the following variant of the FIB-HEAP-DELETE procedure, claiming that it runs faster when the node being deleted is not the node pointed to by min[H].

a. The professor"s claim that this procedure runs faster is based partly on the assumption that line 7 can be performed in O(1) actual time. What is wrong with this assumption?

b. Give a good upper bound on the actual time of PISANO-DELETE when x is not min[H]. Your bound should be in terms of degree[x] and the number c of calls to the CASCADING-CUT procedure.

c. Suppose that we call PISANO-DELETE(H, x), and let H′ be the Fibonacci heap that results. Assuming that node x is not a root, bound the potential of H′ in terms of degree[x], c, t(H), and m(H).

d. Conclude that the amortized time for PISANO-DELETE is asymptotically no better than for FIB-HEAP-DELETE, even when x ≠ min[H].

Answers

Maurice Tutor
(5)
Status NEW Posted 17 Sep 2017 08:09 AM My Price 7.00

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