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...
PHP 7 Data Structures and Algorithms
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PHP 7 Data Structures and Algorithms
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Overview of this book
PHP has always been the the go-to language for web based application development, but there are materials and resources you can refer to to see how it works. Data structures and algorithms help you to code and execute them effectively, cutting down on processing time significantly.
If you want to explore data structures and algorithms in a practical way with real-life projects, then this book is for you.
The book begins by introducing you to data structures and algorithms and how to solve a problem from beginning to end using them. Once you are well aware of the basics, it covers the core aspects like arrays, listed lists, stacks and queues. It will take you through several methods of finding efficient algorithms and show you which ones you should implement in each scenario. In addition to this, you will explore the possibilities of functional data structures using PHP and go through advanced algorithms and graphs as well as dynamic programming.
By the end, you will be confident enough to tackle both basic and advanced data structures, understand how they work, and know when to use them in your day-to-day work
Table of Contents (14 chapters)
Preface
Free Chapter
Introduction to Data Structures and Algorithms
Understanding PHP Arrays
Using Linked Lists
Constructing Stacks and Queues
Applying Recursive Algorithms - Recursion
Understanding and Implementing Trees
Using Sorting Algorithms
Exploring Search Options
Putting Graphs into Action
Understanding and Using Heaps
Solving Problems with Advanced Techniques
PHP Built-In Support for Data Structures and Algorithms
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