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.
A significant aspect of Abstract Data Types is that they explain the properties of a data structure without specifying the details of its implementation. The properties might be im
two standards ways of traversing a graph in data structure
explain the determination of interest rate in the classical system.
Two-dimensional array is shown in memory in following two ways: 1. Row major representation: To achieve this linear representation, the first row of the array is stored in th
Acyclic Graphs In a directed graph a path is said to form a cycle is there exists a path (A,B,C,.....P) such that A = P. A graph is called acyclic graph if there is no cycle in
Exact analysis of insertion sort: Let us assume the following pseudocode to analyse the exact runtime complexity of insertion sort. T j is the time taken to execute the s
What is the best case complexity of quick sort In the best case complexity, the pivot is in the middle.
Complexity is the rate at which the needed storage or consumed time rise as a function of the problem size. The absolute growth based on the machine utilized to execute the program
explain two strategies to implement state charts with the help of an example of each.
File organisation might be described as a method of storing records in file. Also, the subsequent implications approaching these records can be accessed. Given are the factors invo
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