Complex networks
Have you ever wondered what mathematicians mean when they talk about mathematical models of real-life phenomena? And what can such a model tell us about the network-phenomenon we are studying?
What does your Facebook network look like?
Have you ever wondered if you can visualise your Facebook network? And what do these networks have to do with mathematics?
An elephant in the room
Do you see the elephant in this picture? This is not so easy for a computer, even if it is "intelligent".
Traffic congestion: Braess' Paradox
Can you imagine that the, seemingly innocent and quite natural, idea to build more roads in order to solve the traffic problem can be sometimes quite a bad idea.
From Atoms to Reaction Networks
Have you ever thought about a relation between chemistry and networks? Already from school courses we get the feeling that there is some interplay between mathematics and chemistry. In this article we will see how graph theory can help us understand the way chemical reactions occur.
Traffic congestion: Optimal tolling schemes
Congested road networks are a big problem in many countries. Building more roads is not always the best solution to solve this issue. One of the reasons for this is that drivers behave selfishly
Vaccination and the friendship paradox!
On social media it seems like everyone around me is more popular than what I am. It is a mathematical statement: the friendship paradox!
Let me show you the math!
In this category we collect articles where we discuss mathematical concepts and results. In all these articles we aim at making the mathematics accessible, we focus on the ideas and omit unnecessary technicalities.
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 networks turn out to be extremely inhomogeneous.
Word usages reflect network community structure on Twitter
Networks can be found everywhere, and are also present in social media platforms such as Twitter. Generally, groups exist that send a lot of tweets to each other and far fewer tweets to users outside their group. In this article, the research on word usages in Twitter social groups, also called communities, will be discussed in more detail.