Homework Answers
a) Is such a tree strictly binary?
Such trees are strictly binary tree if every node in the tree has eithe 0 or two child nodes or we can also say that the difference between left and right subtrees of any node in the tree should be atmost 1.
Since fibonacci trees has the least storage capacity of nodes among all other balanced trees is the reason they represent the worst case of balanced trees.
b) What is the number of leaves in the Fibonacci tree of order n?
The number of leaves in the Fibonacci tree of order n is F(n)
where F(n) represents nth Fibonacci numbers.
Fibonacci numbers list :- 1,1,2,3,5,8 etc.
So, F(1)=1, F(2)=1, F(3)=2, F(4)=3 and so on.
So a fibonacci tree with order 1 will have 1 leaf, order 2 will also have 1 leaf, order 3 will have 2 leaves, order 4 will have 3 leaves etc.
Also the total number of nodes in Fibonacci tree of order n will be F(n+2)-1.
c) What is the depth of the Fibonacci tree of order n?
The depth of the fibonacci tree is equal to its order n.This is
how there are n-1 left subtree nodes and n-2 right subtree nodes in
a fibonacci tree.
You just have to know the order. That is itself the depth of any
fibonacci tree.
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Answer the following questions about Fibonacci binary tree defined in the...
I need question 9-10 answered. Thank you Question 1 iShow the resulting binary search tree if...
I need question 9-10 answered. Thank you
Question 1 iShow the resulting binary search tree if we are to insert following elements into the tree in given order, [34, 12, 23, 27,31,9,11,45, 20, 37. i) Show the resulting balanced binary search tree if we are to insert following sorted elements into the tree, [9,12,21, 23, 29, 31, 34, 45, 48, 52, 55] iii What is the pre-order traversal of the balanced binary search tree? v) What is the post-order traversal...
Beginning with an empty binary search tree, what binary search tree is formed when you add the following letters in the order given?
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answer number 7
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I need question 9-10 answered. Thank you
Question 1 iShow the resulting binary search tree if we are to insert following elements into the tree in given order, [34, 12, 23, 27,31,9,11,45, 20, 37. i) Show the resulting balanced binary search tree if we are to insert following sorted elements into the tree, [9,12,21, 23, 29, 31, 34, 45, 48, 52, 55] iii What is the pre-order traversal of the balanced binary search tree? v) What is the post-order traversal...
Trees-related questionsBeginning with an empty binary search tree, what binary search
tree is formed when you add the following letters in the order
given? J, N, B, A, W, E, TRepresent the following binary tree with an array What is the result of adding 3 and 4 to the 2-3 tree shown
below?Why does a node in a red-black tree require less memory than a
node in a 2-3-4 tree?Why can’t a Red-Black Tree have a black child node with exactly...
Use the tree below to answer the following questions: Is this a binary tree? Is this a binary search tree? Is this a complete binary tree? What is the left subtree of Node T?
2. A regular binary tree is a binary tree whose internal nodes all have two subtrees (left and right). In other words, all their nodes have either zero subtrees (in which case they are leaves) or two subtrees (in which case they are internal nodes). Suppose that you have a boolean function that tells you, for each node of the tree, whether it is a leaf or not (call it: leaf(n), for node n). a) Write a recursive function that...
1. What is the worst case time complexity of insertion into a binary search tree with n elements? You should use the most accurate asymptotic notation for your answer. 2. A binary search tree is given in the following. Draw the resulting binary search tree (to the right of the given tree) after deleting the node with key value 8. 10 3. You have a sorted array B with n elements, where n is very large. Array C is obtained...
answer number 7
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