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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 the binary search tree

A BST is a binary tree that is built in such way that the tree is always sorted. This means the left child node has a value less than or equal to the parent node value, and right child node will have the value greater than the parent node value. So, whenever we need to search a value, either we will search left or search right. As it is sorted, we have to search one part of the tree, not both, and this continues recursively. For its dividing nature, the searching becomes very fast, and we can achieve logarithmic complexity for the search. For example, if we have n number of nodes, we will search either the first half or second half of the nodes. Once we are in the first or second half, we can divide it again into two halves, which means our half now becomes a quarter, and it goes on and on until we reach the final node. As we are not moving...

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