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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

Heap operations

As we have mentioned a few times that heap is a specialized tree data structure, we have to make sure that we first construct a heap from a given list of items. As heap has a strict heap property, we have to satisfy the heap property on each step. Here are some of the core operations for heap:

  • Create heap
  • Insert a new value
  • Extract minimum or maximum from heap
  • Remove a value
  • Swapping

Creating a heap from a given list of items or numbers requires us to ensure that both heap property and binary tree property are satisfied. Which means the parent node must be greater or less than the child nodes and that will be true for all nodes in the tree. Also the tree must be a complete binary tree all the time. While creating a heap, we start with one node and insert a new node to the heap.

The insert node operation has a defined set of steps. We cannot start from an arbitrary...

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