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PHP 7 Data Structures and Algorithms

You're reading from   PHP 7 Data Structures and Algorithms Implement linked lists, stacks, and queues using PHP

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Product type Paperback
Published in May 2017
Publisher Packt
ISBN-13 9781786463890
Length 340 pages
Edition 1st Edition
Languages
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Author (1):
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Mizanur Rahman Mizanur Rahman
Author Profile Icon Mizanur Rahman
Mizanur Rahman
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Table of Contents (14) Chapters Close

Preface 1. Introduction to Data Structures and Algorithms FREE CHAPTER 2. Understanding PHP Arrays 3. Using Linked Lists 4. Constructing Stacks and Queues 5. Applying Recursive Algorithms - Recursion 6. Understanding and Implementing Trees 7. Using Sorting Algorithms 8. Exploring Search Options 9. Putting Graphs into Action 10. Understanding and Using Heaps 11. Solving Problems with Advanced Techniques 12. PHP Built-In Support for Data Structures and Algorithms 13. Functional Data Structures with PHP

Understanding a binary tree

We always get confused with binary trees and binary search trees. As we have seen in the definition, BST is a sorted binary tree. If it is sorted, then we can have the performance improvement compared to a regular binary tree. Each binary tree node can have a maximum of two child nodes, which are known as the left child node and right child node. However, based on the type of binary tree, there can be zero, one, or two child nodes.

We can also classify binary trees into different categories:

  • Full binary tree: A full binary tree is a tree that has either zero or two child nodes on each node. A full binary tree is also known as a proper tree or a plane binary tree.
  • Perfect binary tree: A perfect binary tree is a binary tree in which all internal nodes have exactly two child nodes and all leaves have the same level or depth.
  • Complete binary tree: A complete...
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