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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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Shell sort


Shell sort (also called diminishing increment sort) is a non-intuitive (real-life) and a non-adjacent element comparison (and swap) type of sorting algorithm. It is a derivative of insertion sorting; however, it performs way better in worst-case scenarios. It is based on a methodology adopted by many other algorithms to be covered later: the entire vector (parent) is initially split into multiple subvectors (child), then sorting is performed on each subvector, and later all the subvectors are recombined into their parent vector.

Shell sort, in general, splits each vector into virtual subvectors. These subvectors are disjointed such that each element in a subvector is a fixed number of positions apart. Each subvector is sorted using insertion sort. The process of selecting a subvector and sorting continues till the entire vector is sorted. Let us understand the process in detail using an example and illustration (Figure 5.5):

Figure 5.5: Illustration of shell sort

Consider a numeric...

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