Book Image

Applying Math with Python

By : Sam Morley
Book Image

Applying Math with Python

By: Sam Morley

Overview of this book

Python, one of the world's most popular programming languages, has a number of powerful packages to help you tackle complex mathematical problems in a simple and efficient way. These core capabilities help programmers pave the way for building exciting applications in various domains, such as machine learning and data science, using knowledge in the computational mathematics domain. The book teaches you how to solve problems faced in a wide variety of mathematical fields, including calculus, probability, statistics and data science, graph theory, optimization, and geometry. You'll start by developing core skills and learning about packages covered in Python’s scientific stack, including NumPy, SciPy, and Matplotlib. As you advance, you'll get to grips with more advanced topics of calculus, probability, and networks (graph theory). After you gain a solid understanding of these topics, you'll discover Python's applications in data science and statistics, forecasting, geometry, and optimization. The final chapters will take you through a collection of miscellaneous problems, including working with specific data formats and accelerating code. By the end of this book, you'll have an arsenal of practical coding solutions that can be used and modified to solve a wide range of practical problems in computational mathematics and data science.
Table of Contents (12 chapters)

Getting the basic characteristics of networks

Networks have various basic characteristics beyond the number of nodes and edges that are useful for analyzing a graph. For example, thedegreeof a node is the number of edges that start (or end) at that node. A higher degree indicates that the node is better connected to the rest of the network.

In this recipe, we will learn how to access the basic attributes and compute various basic measures associated with a network.

Getting ready

As usual, we need to import the NetworkX package under the name nx. We also need to import the Matplotlib pyplot module under the name plt.

How to do it...

Follow these steps to access the various basic characteristics of a network:

  1. Create a sample network that we will analyze in this recipe, like so:
G = nx.Graph()
(0, 1), (1, 2), (2, 3), (2, 4),
(2, 5), (3, 4), (4, 5), (6,...