Incorporating structural features into random-graph calculations should bring theoretical models describing the properties and behaviour of complex networks closer to real-world systems. You have full ...

This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2024. Many real-world networks change dynamically but can be notoriously ...

Abstract: Random graph models are commonly used as a null-hypothesis in the study of real-world networks. It is important that these networks resemble the real network under study, since they are used ...

Abstract: Random walks on graphs have wide-ranging applications, including target node search on graphs and structural exploration of graphs. In recent years, analyses have been conducted not only on ...

The classical result of Erdos and Renyi shows that the random graph G(n,p) experiences sharp phase transition around p=1/n – for any ε0 and p=(1-ε)/n, all connected components of G(n,p) are typically ...

A Python application for generating and visualizing random graphs using the random module and PyQt5. This project demonstrates how to create a simple GUI application that generates random data points ...

Imagine that you are playing a snake game on your old Nokia phone that has a screen that has width A and height B. You have a small 1x1 snake that can move up, dow, left, and right, and you start from ...