Mathematical Induction Applied to Graph Theory

Algorithmically Speaking - #11: A not-so-common introduction to one of the most powerful mathematical tools.

Hello there, and welcome to a new edition of Algorithmically Speaking!

Today, we will discuss Mathematical Induction, specifically how it can be used in graph theory to demonstrate theorems and propositions.

In this post, I will present one of the fundamental propositions of graph theory and walk you through proving that the proposition holds. I will ensure that the content is accessible to all, regardless of your familiarity with the art of proving theorems in mathematics.

Whether you are a math connoisseur or a total newb to the field, I think you will benefit tremendously from today’s discussion. This example shows why people like me invest a considerable part of their lives diving deeper and deeper into science, specifically looking at the intersection of math and computer science and how these principles can be applied in real-world scenarios.

In order, this is our agenda for today:

• 🤔 What is mathematical induction? — an introduction to mathematical induction and a classic example of…