Assume that an n-node Fibonacci heap is obtained after performing the basic mergeable heap operations (that is, MAKE_HEAP, MIN, INSERT, UNION, EXTRACT MIN). Estimate the a) number of trees (from below and from above), b) size of a subtree rooted at a node of degree k > 0, and c) maximum degree of a node in the resulting heap.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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1.
Assume that an n-node Fibonacci heap is obtained after performing the
basic mergeable heap operations (that
INSERT, UNION, EXTRACT MIN). Estimate the
is, MAKE HEAP, MIN,
a) number of trees (from below and from above),
b) size of a subtree rooted at a node of degree k> 0, and
c) maximum degree of a node
in the resulting heap.
Transcribed Image Text:1. Assume that an n-node Fibonacci heap is obtained after performing the basic mergeable heap operations (that INSERT, UNION, EXTRACT MIN). Estimate the is, MAKE HEAP, MIN, a) number of trees (from below and from above), b) size of a subtree rooted at a node of degree k> 0, and c) maximum degree of a node in the resulting heap.
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