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Applying Math with Python

You're reading from   Applying Math with Python Practical recipes for solving computational math problems using Python programming and its libraries

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Product type Paperback
Published in Jul 2020
Publisher Packt
ISBN-13 9781838989750
Length 358 pages
Edition 1st Edition
Languages
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Authors (2):
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Sam Morley Sam Morley
Author Profile Icon Sam Morley
Sam Morley
Sam Morley Sam Morley
Author Profile Icon Sam Morley
Sam Morley
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Table of Contents (12) Chapters Close

Preface 1. Basic Packages, Functions, and Concepts 2. Mathematical Plotting with Matplotlib FREE CHAPTER 3. Calculus and Differential Equations 4. Working with Randomness and Probability 5. Working with Trees and Networks 6. Working with Data and Statistics 7. Regression and Forecasting 8. Geometric Problems 9. Finding Optimal Solutions 10. Miscellaneous Topics 11. Other Books You May Enjoy

Finding the shortest paths in a network

A common problem where networks make an appearance is in the problem of finding the shortest – or perhaps more precisely, the highest reward – route between two nodes in a network. For instance, this could be the shortest distance between two cities, where the nodes represent the cities and the edges are roads connecting pairs of cities. In this case, the weights of the edges would be their lengths.

In this recipe, we will find the shortest path between two nodes in a network with weights.

Getting ready

For this recipe, we will need the NetworkX package imported, as usual, under the name nx, the Matplotlib pyplot module imported as plt, and a random number generator object from NumPy:

from numpy.random import default_rng
rng = default_rng(12345) # seed for reproducibility

How to do it...

Follow these steps to find the shortest path between...

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