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Applying Math with Python

You're reading from   Applying Math with Python Over 70 practical recipes for solving real-world computational math problems

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Product type Paperback
Published in Dec 2022
Publisher Packt
ISBN-13 9781804618370
Length 376 pages
Edition 2nd Edition
Languages
Concepts
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Author (1):
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Sam Morley Sam Morley
Author Profile Icon Sam Morley
Sam Morley
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Table of Contents (13) Chapters Close

Preface 1. Chapter 1: An Introduction to Basic Packages, Functions, and Concepts 2. Chapter 2: Mathematical Plotting with Matplotlib FREE CHAPTER 3. Chapter 3: Calculus and Differential Equations 4. Chapter 4: Working with Randomness and Probability 5. Chapter 5: Working with Trees and Networks 6. Chapter 6: Working with Data and Statistics 7. Chapter 7: Using Regression and Forecasting 8. Chapter 8: Geometric Problems 9. Chapter 9: Finding Optimal Solutions 10. Chapter 10: Improving Your Productivity 11. Index 12. Other Books You May Enjoy

Creating directed and weighted networks

Simple networks, such as those described in the previous recipes, are useful for describing networks where the direction of an edge is unimportant and where the edges carry equal weight. In practice, most networks carry additional information, such as weights or directions.

In this recipe, we will create a directed and weighted network and explore some of the basic properties of such networks.

Getting ready

For this recipe, we will need the NetworkX package, imported under the nx alias (as usual), the Matplotlib pyplot module imported as plt, and the NumPy package imported as np.

How to do it...

The following steps outline how to create a directed network with weights, as well as how to explore some of the properties and techniques we discussed in the previous recipes:

  1. To create a directed network, we can use the DiGraph class from NetworkX rather than the simple Graph class:
    G = nx.DiGraph()
  2. As usual, we must add nodes...
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