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.
Adjacency list representation An Adjacency list representation of Graph G = {V, E} contains an array of adjacency lists mentioned by adj of V list. For each of the vertex u?V,
P os t - o r d e r T r av er sal : This can be done by both iteratively and recursively. The iterative solution would require a modification or alteration of the in-
What is Keyed Access- Container A collection may allow its elements to be accessed by keys. For instance, maps are unstructured containers which allows their elements to be
Q . Write down the non-recursive algorithm to traverse a tree in preorder. Ans: T he Non- Recursive algorithm for preorder traversal is written below: Initially i
Worst Fit method:- In this method the system always allocate a portion of the largest free block in memory. The philosophy behind this method is that by using small number of a ve
What is quick sort? Quick sort is a sorting algorithm that uses the idea if split and conquer. This algorithm chooses an element called as pivot element; search its position in
B Tree Unlike a binary-tree, every node of a B-tree may have a variable number of keys and children. The keys are stored in non-decreasing order. Every key has an associated ch
Two linked lists are having information of the same type in ascending order. Write down a module to merge them to a single linked list that is sorted merge(struct node *p, stru
The data structure needed for Breadth First Traversal on a graph is Queue
Q. Write down an algorithm for finding a key from a sorted list using the binary search technique or method.
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