Question: Please help me answer this question. Q6 [5 marks] Recall that the height of a binary tree is the longest path from the root node

Please help me answer this question.

Q6 [5 marks] Recall that the height of a binary tree is the longest path from the root node to any leaf node in the tree. For example, the height of the tree in Fig. 5 is 2 and the height of the tree in Fig. 6 is 4. Let T be the set of all binary trees that meet the following condition: for each non-leaf node in the tree, the heights of the left and right child differ by at most 1 . Provide a proof that for any tree in T, the number of nodes in the tree is at least 1.5 times the height of the tree, i.e., for any tree t in T, nodes (t)31.5 height (t)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Question 2. (1 marks) Recall that the height of a node u in a binary search tree (BST) T equals the number of edges in the longest path from u to a leaf of the subtree rooted at u. (Leaves have...

Write C functions to implement stack using singly linked list without a header node and the list is not circular. The prototype of stack operations are void push (int data struct node s) and int pop...

Give the typing rules for Peano natural numbers and their eliminator.(ii) Using the rules given above, define the addition function.] (iii) Let a binary tree be either a leaf Leaf or a node...

I need help with answering all of the following questions pleas let me know if you need more info the dlist file that was provided section 4 and on questions please help and answer each part thank...

( 4 points ) Write a simple recursive function to calculate ( and return ) the height of a binary tree ? 1 T . You should assume that T is pointing to the root of the tree initially at input time....

Question 5 (1 point) If every node of a tree has O or 3 children; then if the tree has 4 total nodes - then how many of these are leaf nodes? Save Question 6 (1 point) According to NIST (National...

Please help me answer this coding question. You can write the code in either Python3 or Java8 ; whichever one is easier and faster but please comment the code. Please also provide screenshots of your...

Assignment: Birthday Bonanza Background Busy Sally Socialite has trouble remembering people's birthdays, so she has organised her friends into what she calls a Birthday Support Team, or BST. Each...

Hello, this is for programming in C++ . I really need help with the below assignment. I have included the default programs below the assignment. I am having a lot of issues with this and really need...

there isnt a graph component to this question. thank you! Q5 (10 points) On your scratch paper, draw the portion of the decision tree for insertion sort on 5 elements 21, 22, 23, 24, 25 that contains...

Set up a meeting with a librarian. During your meeting, ask the librarian to describe the situations that come up in the library to which the book checkout system needs to respond. List these...

1 Using real-life situations, market examples, or personal experience, identify a product and explain each of the four forecasting variables as it relates to the products market conditions. Which...

Cobermess to experience Question 3 1 A group of friends are starting their own venture capital firm with the resources and abilities they have. Jessie is really goo formulas to solve complex problems...

P-1) (100 Pts.) A chemical manufacturing company (CMC) has a contract for the procurement of the neccssaly chemicals from four suppliers. The chemicals purchased from Supplier A are priced at $20...

Wan Yu Tang purchased a cell phone plan from Endless Journey Wireless. His first monthly invoice for service totaled $65, which included a $15 roaming charge.Without understanding the meaning of a...

You are the owner of Jimmys Electric, a small electrical construction company. Because of reduction of building in the area, it is necessary that you terminate Milton Youngs employment. He is an...

Wallenda Jorgenson is in the real estate market to buy a home. She has been attending open houses on her own and has found a house that she wants to buy. She has asked Daniel Thompson,a real estate...