329 citations · 1.8k across the 58 of their papers we have counts for
59 papers
A mini-review on combinatorial solutions to the Marcus-Lushnikov irreversible aggregation
Michał Łepek, 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…
Interplay between tie strength and neighbourhood topology in complex networks: Granovetter's theory and beyond
Maciej J Mrowinski, Kamil P. Orzechowski, Agata Fronczak +1
Granovetter's weak ties theory is a very important sociological theory according to which a correlation between edge weight and the network's topology should exist. More specifical…
Towards fractal origins of the community structure in complex networks: a model-based approach
Mateusz Samsel, Kordian Makulski, Michał Łepek +2
In this paper, we pose a hypothesis that the structure of communities in complex networks may result from their latent fractal properties. This hypothesis is based not only on the…