Social networks are remarkably small, in the sense that you can hop between Read More
The Mysterious R explained in simple terms
During the last three months the whole planet is caught in the turmoil of the Corona pandemic.
Author Archives: Remco van der Hofstad
How the popular become even more popular
Some webpages are enormously popular, and many thousands of other webpages link to them. Yet, most webpages have only few,…
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…
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…
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.…
After a long wait: book `Random Graphs and Complex Networks' appeared
Written for the course `Random Graphs' at Eindhoven University of Technology, and class room tested for over ten years, the…
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…
Stella Kapodistria wins contest `Network Pages'
The Networks Pages proudly presents the winner of the first Network Pages contest for the best logo, wordart image or…
Small worlds and six degrees of separation
Influence in complex networks
Friends influence each other in their opinion of many aspects of life. In this video Read More