Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Q. The degree of a node is defined as the number of children it has. Shear show that in any binary tree, the total number of leaves is one more than the number of nodes of degree 2
Ans:
Let n be the total number of nodes of degree 2 in a binary tree T. We have to show that the number of leaves in T is n+1. Let us prove it by induction technique.
For n=1, the result is certain that the leaves are two i.e. 1+1.
Let the formulae be true for n=k, i.e. if there are n nodes of degree 2 in T then T has k+1 leaves of it.
If we add the two children to one of the leaf node then, the number nodes with degree two will be k+1 and number of leaf node will be (k+1)-1+2 = (k+1)+1. Hence we can conclude by induction method that if a binary tree t has n nodes of degree 2 It then it has n+1 leaves.
Document processing is quickly becoming one of the dominant functions of computers. Computers are utilized to edit, search & transport documents over the Internet, and to display d
Depth-first traversal A depth-first traversal of a tree visit a node and then recursively visits the subtrees of that node. Likewise, depth-first traversal of a graph visits
Tree is a widely used data structure employed for representing several problems. We studied tree like a special case of acyclic graph. Though, rooted trees are most prominent of al
Encryption the plain-text using the round keys: 1. (Key schedule) Implement an algorithm that will take a 128 bit key and generate the round keys for the AES encryption/decryp
Question 1 Explain the use of algorithms in computing Question 2 Explain time complexity and space complexity of an algorithm Question 3 Explain how you can analyz
Program segment for the deletion of any element from the queue delmq(i) /* Delete any element from queue i */ { int i,x; if ( front[i] == rear[i]) printf("Queue is
A full binary tree with 2n+1 nodes have n non-leaf nodes
Write down any four applications of queues. Application of Queue (i) Queue is used in time sharing system in which programs with the similar priority form a queu
#2 example of recursion
Define Merge Sort Merge sort is a perfect example of a successful application of the divide and conquer method. It sorts a given array A[0...n-l] by separating it into two ha
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd