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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
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SPARSE MATRICES Matrices along with good number of zero entries are called sparse matrices. Refer the following matrices of Figure (a)
merge sort process for an example array {38, 27, 43, 3, 9, 82, 10}. If we take a closer look at the diagram, we can see that the array is recursively divided in two halves till the
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Q. Define the graph, adjacency matrix, adjacency list, hash function, adjacency matrix, sparse matrix, reachability matrix.
Q. Describe the term array. How do we represent two-dimensional arrays in memory? Explain how we calculate the address of an element in a two dimensional array.
Q. Sort the sequence written below of keys using merge sort. 66, 77, 11, 88, 99, 22, 33, 44, 55 Ans:
Q. Using the following given inorder and preorder traversal reconstruct a binary tree Inorder sequence is D, G, B, H, E, A, F, I, C
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
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