4 papers
A mini-review on combinatorial solutions to the Marcus-Lushnikov irreversible aggregation
MichaÅ Åepek, Agata Fronczak, Piotr Fronczak
Over the past decade, a combinatorial framework for discrete, finite, and irreversibly aggregating systems has emerged. This work reviews its progress, practical applications, and…
Universality classes in the time evolution of epidemic outbreaks on complex networks
Mateusz J. Samsel, Agata Fronczak, Piotr Fronczak
We investigate the full temporal evolution of epidemic outbreaks in complex networks, focusing on the susceptible-infected (SI) model of disease transmission. Combining theoretical…
Model-based reconstruction of real-world fractal complex networks
Kordian Makulski, Mateusz Samsel, Michal Lepek +2
This paper presents a versatile model for generating fractal complex networks that closely mirror the properties of real-world systems. By combining features of reverse renormaliza…
Beyond traditional box-covering: Determining the fractal dimension of complex networks using a fixed number of boxes of flexible diameter
Michal Lepek, Kordian Makulski, Agata Fronczak +1
In this article, we present a novel box-covering algorithm for analyzing the fractal properties of complex networks. Unlike traditional algorithms that impose a predetermined box s…