Gain insights into implementing array-based and linked list data structures, explore advanced structures like skiplists, hashing, and graphs, and learn reusable, template-based collections for efficient data analysis.

java.tar.gz

Java

Java-1

Data structures and algorithms are essential in computer science since they play a crucial role in efficient information retrieval and processing, dealing with files, storing contacts on phones, social networks and web searches.

In this course, you’ll learn about the array-based implementation of various linear data structures, stack, and queues. You’ll also learn about linked list-based implementation. Next, you’ll explore advanced data structures like skiplists and hashing. You’ll learn how to implement a variety of trees and graphs, and data structures related to bits of an integer. Toward the end of the course, you’ll learn the implementation of structures based on external storage.

After completing this course, you’ll be able to create reusable programs with template-based collections that can efficiently analyze how to optimize the storage and retrieval of very large amounts of data. Overall, this course will enhance your productivity and performance as a software developer.

Data Structures with Generic Types in Java

# Skiplist overview
Here, we discuss a beautiful data structure: the skiplist, which has a variety of applications. Using a skiplist we can implement a `List` that has $O(\log n)$ time implementations of `get(i)`, `set(i, x)`, `add(i, x)`, and `remove(i)`. We can also implement an `SSet` in which all operations run in $O(\log n)$ expected time.

The efficiency of skiplists relies on their use of randomization. When a new element is added to a skiplist, the skiplist uses random coin tosses to determine the height of the new element. The performance of skiplists is expressed in terms of expected running times and path lengths. This expectation is taken over the random coin tosses used by the skiplist. In the implementation, the random coin tosses used by a skiplist are simulated using a pseudo-random number (or bit) generator.

# Skiplist structure
Conceptually, a skiplist is a sequence of singly-linked lists $L_0,\cdots,L_h.$ Each list $L_r$ contains a subset of the items in $L_{r−1}$. We start with the input list $L_0$ that contains $n$ items and construct $L_1$ from $L_0, L_2$ from $L_1$, and so on. The items in $L_r$ are obtained by tossing a coin for each element, $x$, in $L_{r−1}$ and including $x$ in $L_r$ if the coin turns up as heads. This process ends when we create a list $L_r$ that is empty. An example of a skiplist is shown below:

Get introduced to a new data structure, the skiplist.

Overview

Array-Based Lists

Linked Lists

Skiplists

Hash Tables

Binary Trees

Random Binary Search Trees

Scapegoat Trees

Red-Black Trees

Heaps

Sorting Algorithms

Graphs

Data Structures for Integers

External Memory Searching

Wrap Up

Introduction to Skiplist