Complex networks

Modelling real-world networks!Have you ever wondered what mathematicians mean when they talk about mathematical models of real-life phenomena? And what can…

Degrees in graphs IV: degrees in large real-world networks

How are elements in real-world networks connected? That is the question we aim to answer in this post. Most real-world…

Finding the shortest route to your holiday destination: Dijkstra's algorithm

Twenty years ago, driving to your holiday destination was a tedious task. You had to plot a route in a…

Degrees in graphs III: Which degrees sequences are possible?

In previous article, we discussed what the degree sequence of a network or graph is. Recall that a graphical sequence…

Network analysis of tax treaties

Large international companies often do not send their profits directly from one country to another. Instead, they send it via…

PWN Vakantiecursus - Netwerken

In de vakantiecursus van Platform Wiskunde Nederland (PWN) draaide alles om netwerken. De syllabus bevat materiaal voor docenten van het middelbaar onderwijs…

Degrees in graphs II: Degree sequences

We have now seen two very simple properties that the number of friends that people in friendship networks should satisfy.…

Lesmodule Algoritmiek van TU/e

Deze lesmodule legt een aantal basisbegrippen rondom algoritmiek uit: wat is een algoritme, hoe kunnen we de snelheid van een…

A Santa Claus network

Poor Santa has to travel all across the country to deliver all his presents. How does he do this? A…

Degrees in graphs I: the Handshake Lemma

A graph consists of objects called vertices and connections between them called edges. For every vertex, we can count how…