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A d-ary heap is like a binary heap, but (with one possible exception) non-leaf nodes have d children instead of

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A d-ary heap is like a binary heap, but (with one possible exception) non-leaf nodes have d children instead of 2 children.
a. How would you represent a d-ary heap in an array?
b. What is the height of a d-ary heap of n elements in terms of n and d?
c. Give an efficient implementation of EXTRACT-MAX in a d-ary max-heap. Analyze its running time in terms of d and n.
d. Give an efficient implementation of INSERT in a d-ary max-heap. Analyze its running time in terms of d and n.
e. Give an efficient implementation of INCREASE-KEY (A, i, k), which first sets A[i] ← max (A[i], k) and then updates the d-ary max-heap structure appropriately. Analyze its running time in terms of d and n.

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a A d ary heap can be represented in a 1 dimensional array as follows The root is kept in A 1 its d children are kept in order in A 2 through A d 1 th…View the full answer


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Introduction to Algorithms

Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

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Question Posted: July 13, 2010 03:00:00
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