Book Image

C++ Data Structures and Algorithm Design Principles

By : John Carey, Anil Achary, Shreyans Doshi, Payas Rajan
Book Image

C++ Data Structures and Algorithm Design Principles

By: John Carey, Anil Achary, Shreyans Doshi, Payas Rajan

Overview of this book

C++ is a mature multi-paradigm programming language that enables you to write high-level code with a high degree of control over the hardware. Today, significant parts of software infrastructure, including databases, browsers, multimedia frameworks, and GUI toolkits, are written in C++. This book starts by introducing C++ data structures and how to store data using linked lists, arrays, stacks, and queues. In later chapters, the book explains the basic algorithm design paradigms, such as the greedy approach and the divide-and-conquer approach, which are used to solve a large variety of computational problems. Finally, you will learn the advanced technique of dynamic programming to develop optimized implementations of several algorithms discussed in the book. By the end of this book, you will have learned how to implement standard data structures and algorithms in efficient and scalable C++ 14 code.
Table of Contents (11 chapters)

Dijkstra's Shortest Path Algorithm

The single-source shortest path problem on a graph is solved every time a user requests a route on a route planning application such as Google Maps or in the navigation software built into cars. The problem is defined as follows:

"Given a directed graph, G - < V, E > where V is the set of vertices and E is the set of edges, each of which is associated with an edge weight, a source vertex, and a destination vertex, find a minimum-cost path from a source to a destination."

Dijkstra's algorithm works for graphs with non-negative edge weights and is only a slight modification of Prim's MST algorithm, with two major changes:

  • Instead of setting labels on every vertex equal to the minimum distance from the frontier, Dijkstra's algorithm sets the labels on each vertex with the distance equal to the total distance of the vertex from the source.
  • Dijkstra's algorithm terminates if the destination vertex is popped from...