33. Which of the following is incorrect with respect to binary trees? a) Let T be a binary tree. For every k ≥ 0, there are no more than 2k nodes in level k b) Let T be a binary tree with λ levels. Then T has no more than 2λ – 1 nodes c) Let T be a binary tree with N nodes. Then the number of levels is at least ceil(log (N + 1)) d) Let T be a binary tree with N nodes. Then the number of levels is at least floor(log (N + 1))

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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33. Which of the following is incorrect with respect to binary trees?

a) Let T be a binary tree. For every k ≥ 0, there are no more than 2k nodes in level k

b) Let T be a binary tree with λ levels. Then T has no more than 2λ – 1 nodes

c) Let T be a binary tree with N nodes. Then the number of levels is at least ceil(log (N + 1))

d) Let T be a binary tree with N nodes. Then the number of levels is at least floor(log (N + 1))

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