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Category Archives: Graph Theory

Mathematical theory dealing with modelling networks, see the Basic Notions.

Netsweeper: playing Minesweeper without the old-fashioned grid

How network science can help you play this fun new variant of the classic computer game.

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Martijn Gösgens January 14, 2022

Cycling to 57,912 National Monuments in the Netherlands

In March 2021 the largest roadmap instance of the traveling salesman problem ever was solved.

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Nicos Starreveld October 1, 2021

A big breakthrough in the Euclidean Travelling Salesman Problem

Recently there has been a breakthrough in the field of algorithms for geometric network problems, concerning the complexity of the…

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Nicos Starreveld September 17, 2021

Stumbling around in a changing world

Random walks are popularly described as a drunkard’s path down the streets. What happens when the streets also start to…

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Oliver Nagy May 28, 2021

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…

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Andrea Roccaverde, Frank den Hollander, Diego Garlaschelli November 12, 2018

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…

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Remco van der Hofstad, Julia Komjathy January 14, 2018

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…

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Bart Jansen August 15, 2017

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…

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Remco van der Hofstad July 20, 2017

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…

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Sven Polak, Pieter Kleer June 1, 2017

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…

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Bart Post June 1, 2017
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