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R Data Structures and Algorithms

R Data Structures and Algorithms

By : PKS Prakash, Sri Krishna Rao
4.5 (2)
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R Data Structures and Algorithms

R Data Structures and Algorithms

4.5 (2)
By: PKS Prakash, Sri Krishna Rao

Overview of this book

In this book, we cover not only classical data structures, but also functional data structures. We begin by answering the fundamental question: why data structures? We then move on to cover the relationship between data structures and algorithms, followed by an analysis and evaluation of algorithms. We introduce the fundamentals of data structures, such as lists, stacks, queues, and dictionaries, using real-world examples. We also cover topics such as indexing, sorting, and searching in depth. Later on, you will be exposed to advanced topics such as graph data structures, dynamic programming, and randomized algorithms. You will come to appreciate the intricacies of high performance and scalable programming using R. We also cover special R data structures such as vectors, data frames, and atomic vectors. With this easy-to-read book, you will be able to understand the power of linked lists, double linked lists, and circular linked lists. We will also explore the application of binary search and will go in depth into sorting algorithms such as bubble sort, selection sort, insertion sort, and merge sort.
Table of Contents (11 chapters)
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Exercises


  1. Consider that a secondary-level index with 10,400 blocks needs to be represented using multi-level linear indexing. The blocking factor is 52 entries per block, which is also the fan-out factor for multi-level indexing:

    • How many levels are required for indexing?

    • How many blocks are required at the second level?

    • What would be the minimum blocking factor to fit the dataset using a second-level linear index?

  2. Write the code for deletion of an element from a 2-3 tree. Also, prove that the number of leaf nodes in a 2-3 tree with height h will be between 2h-1 and 3h-1.

  3. Assume a computer system with disk blocks of 8,192, and that you want to store records with 16-byte keys and 64-byte fields. What will be the greatest number of records that can be stored in a file if a linear index of size 4 MB is used?Assume the records are sorted and packaged sequentially into the disk file.

  4. In the balanced binary tree given in the figure that follows, how many nodes will become unbalanced when inserted as...

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R Data Structures and Algorithms
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