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Efficient Algorithm Design

Efficient Algorithm Design

By : Masoud Makrehchi
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Efficient Algorithm Design

Efficient Algorithm Design

By: Masoud Makrehchi

Overview of this book

Efficient Algorithm Design redefines algorithms, tracing the evolution of computer science as a discipline bridging natural science and mathematics. Author Masoud Makrehchi, PhD, with his extensive experience in delivering publications and presentations, explores the duality of computers as mortal hardware and immortal algorithms. The book guides you through essential aspects of algorithm design and analysis, including proving correctness and the importance of repetition and loops. This groundwork sets the stage for exploring algorithm complexity, with practical exercises in design and analysis using sorting and search as examples. Each chapter delves into critical topics such as recursion and dynamic programming, reinforced with practical examples and exercises that link theory with real-world applications. What sets this book apart is its focus on the practical application of algorithm design and analysis, equipping you to solve real programming challenges effectively. By the end of this book, you’ll have a deep understanding of algorithmic foundations and gain proficiency in designing efficient algorithms, empowering you to develop more robust and optimized software solutions.
Table of Contents (21 chapters)
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1
Part 1: Foundations of Algorithm Analysis
7
Part 2: Deep Dive in Algorithms
13
Part 3: Fundamental Data Structures
17
Part 4: Next Steps

Trees

A tree is a hierarchical, non-linear data structure that consists of nodes connected by edges. Trees are widely used in various applications, such as organizing data, databases, network structures, and more. A tree has a single root node and all other nodes are connected in a parent-child relationship. The tree structure ensures that there are no cycles, and each child has exactly one parent.

In this section, we will explore different types of trees, their properties, and how to represent trees and discuss two important types: binary search trees (BSTs) and red-black trees.

Different types of trees and their properties

Trees come in many types, each with unique characteristics suited for different applications. Here are some of the most common types:

  • General tree: A general tree is a type of tree where any node can have an arbitrary number of children. This type of tree can be used to represent hierarchical data, such as filesystems or organization charts. Figure...
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Tech Concepts
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Programming languages
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Efficient Algorithm Design
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