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## The path from a puzzle to a great theorem

In this article Maya continues her journey from Rotterdam to Brussels. She starts thinking about a puzzle from her childhood, the three utilities problem. At the end of the jouney she has reached a very important theorem from graph theory!

## No five countries can all boarder each other

Looking on the world map you can easily spot four countries that border each other. But can you find five?

## How can we know something exists if we cannot find it?

The probabilistic method was pioneered by the Hungarian mathematician Paul Erdős, famous for his many contributions to combinatorics and graph theory, and it has since become an important tool in these areas of mathematics. Is this article you will learn how it works!

## Some ideas on teaching graph theory in high schools

Have you ever wondered how you can make mathematics interesting to the daily life of students? In this article, we will discuss two important and exciting concepts teachers can use to introduce graph theory in their classes.

## Science Illustrations updated

We have a special category with science illustations on various topics related to networks and algorithms. Many of these illustrations were developed specifically for the Network Pages. The four posters made for mathematics exhibition IMAGINARY have been added.

## Random Graphs and Complex Networks: Volume 2 has appeared!

In February 2024, the second Volume of the Random Graphs and Complex Networks book series has appeared. This volume is aimed more towards the research community, including PhD students and researchers, with a mathematical background.

## The Elegant Heist: Mastering the Art of Necklace Splitting

Ever wondered how stolen necklaces are tactfully divided? Join us on a captivating journey into the math under necklace splitting! This journey will lead us to a wonderful and very important theorem in mathematics, the Borsuk-Ulam theorem.

## The magic of mathematics ♠️♥️♣️♦️

Did you know that a city tour was the foundation of the mathematical field of graph theory? And that graph theory has applications even in magic?

## A sparkly new journal for graph theory

Academic publishing is booming, but at what cost? Ross Kang recaps the difficulties and announces a new diamond OA journal in graph theory.

## Does no small structure mean larger homogeneous ones?

A conjecture of Erdős and Hajnal from 1989 says that forbidding any specific substructure results in existence of a very large homogeneous one! In this article you will have a look into one of the most fascinating problems in modern graph theory.