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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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Toc

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

Topological sorting using Kahn's algorithm

Let's assume that we have some tasks to do, and each of the tasks has some dependencies that mean that the dependent tasks should be done first before doing the actual task. The problem arises when we have an interrelationship between tasks and dependencies. Now, we need to come up with a proper order for completing the tasks. We need a special type of sorting so that we can sort these connected tasks without violating our rules for finishing the tasks. Topological sorting will be the right choice for solving such problems. In topological sorting, a directed edge AB from vertex A to B is sorted in such a way that A will always come before B in the ordering. This will be applicable for all the vertices and edges. Another important factor for applying a topological sort is that the graph must be a DAG. Any DAG has at least...

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