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In this unit, we will describe a data structure called Graph. Actually, graph is a general tree along no parent-child relationship. In computer science, Graphs have several applications and other fields of science. Generally, graphs represent a comparatively less restrictive relationship among the data items. We will discuss about both undirected graphs & directed graphs. The unit also comprises information on different algorithms which are depending on graphs.
After learning this unit, you have to be able to
Complexity classes All decision problems fall in sets of comparable complexity, called as complexity classes. The complexity class P is the set of decision problems which ca
Example: (Double left rotation while a new node is added into the AVL tree (RL rotation)) Figure: Double left rotation when a new node is inserted into the AVL tree A
List various problem solving techniques. There are two techniques:- 1. Top down 2. Bottom- up
What is bubble sort? Bubble Sort: The basic idea in bubble sort is to scan the array to be sorted sequentially various times. Every pass puts the largest element in its corr
What will be depth do , of complete binary tree of n nodes, where nodes are labelled from 1 to n with root as node and last leaf node as node n
Explain an efficient way of storing two symmetric matrices of the same order in memory. A n-square matrix array is said to be symmetric if a[j][k]=a[k][j] for all j and k. For
In this unit, we discussed Binary Search Trees, AVL trees and B-trees. The outstanding feature of Binary Search Trees is that all of the elements of the left subtree of the root
Describe different methods of developing algorithms with examples.
Q. Write down an algorithm to delete the specific node from binary search tree. Trace the algorithm to delete a node (10) from the following given tree. Ans. Algor
(a) Write (delay ) as a special form for (lambda () ) and (force ), as discussed in class. (b) Write (stream-cons x y) as a special form, as discussed in class. (c) Write
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