12 citations · 57 across the 16 of their papers we have counts for
16 papers
Generating Synthetic Citation Networks with Communities
Łukasz Brzozowski, Marek Gagolewski, Grzegorz Siudem
Generating realistic synthetic citation, patent, or component dependency networks is essential for benchmarking community detection, graph visualisation, and network data mining al…
The Price-Pareto growth model of networks with community structure
Łukasz Brzozowski, Marek Gagolewski, Grzegorz Siudem +1
We introduce a new analytical framework for modelling degree sequences in individual communities of real-world networks, e.g., citations to papers in different fields. Our work is…
Gini-stable Lorenz curves and their relation to the generalised Pareto distribution
Lucio Bertoli-Barsotti, Marek Gagolewski, Grzegorz Siudem +1
We introduce an iterative discrete information production process where we can extend ordered normalised vectors by new elements based on a simple affine transformation, while pres…
Equivalence of inequality indices in the three-dimensional model of informetric impact
Lucio Bertoli-Barsotti, Marek Gagolewski, Grzegorz Siudem +1
Inequality is an inherent part of our lives: we see it in the distribution of incomes, talents, citations, to name a few. However, its intensity varies across environments: there a…
Community detection in complex networks via node similarity, graph representation learning, and hierarchical clustering
Łukasz Brzozowski, Grzegorz Siudem, Marek Gagolewski
Community detection is a critical challenge in analysing real graphs, including social, transportation, citation, cybersecurity, and many other networks. This article proposes thre…
Power Laws, the Price Model, and the Pareto type-2 Distribution
Grzegorz Siudem, Przemysław Nowak, Marek Gagolewski
We consider a version of D. Price's model for the growth of a bibliographic network, where in each iteration a constant number of citations is randomly allocated according to a wei…
Modelling railway delay propagation as diffusion-like spreading
Mark M. Dekker, Alexey N. Medvedev, Jan Rombouts +2
Railway systems form an important means of transport across the world. However, congestions or disruptions may significantly decrease these systems' efficiencies, making predicting…
Combinatorial origins of the canonical ensemble
Kornelia Ufniarz, Grzegorz Siudem
The Darwin-Fowler method in combination with the steepest descent approach is a common tool in the asymptotic description of many models arising from statistical physics. In this w…
Bell polynomials in the series expansions of the Ising model
Grzegorz Siudem, Agata Fronczak
Through applying Bell polynomials to the integral representation of the free energy of the Ising model for the triangular and hexagonal lattices we obtain the exact combinatorial f…
Partial equivalence of statistical ensembles in a simple spin model with discontinuous phase transitions
Agata Fronczak, Piotr Fronczak, Grzegorz Siudem
In this paper, we draw attention to the problem of phase transitions in systems with locally affine microcanonical entropy, in which partial equivalence of (microcanonical and cano…
Area-width scaling in generalised Motzkin paths
Nils Haug, Thomas Prellberg, Grzegorz Siudem
We consider a generalised version of Motzkin paths, where horizontal steps have length , with being a fixed positive integer. We first give the general functional equa…
Agent-based model for the h-index - Exact solution
Barbara Żogała-Siudem, Grzegorz Siudem, Anna Cena +1
The Hirsch's -index is perhaps the most popular citation-based measure of the scientific excellence. In 2013 G. Ionescu and B. Chopard proposed an agent-based model for this ind…
Exact low-temperature series expansion for the partition function of the two-dimensional zero-field s=1/2 Ising model on the infinite square lattice
Grzegorz Siudem, Agata Fronczak, Piotr Fronczak
In this paper, we provide the exact expression for the coefficients in the low-temperature series expansion of the partition function of the two-dimensional Ising model on the infi…
Diffusion on hierarchical systems of weakly-coupled networks
Grzegorz Siudem, Janusz A. Hołyst
We analyse diffusion dynamics on weakly-coupled networks (interconnected networks) by means of separation of time scales. Using an adiabatic approximation we reduced the system dyn…
Analytical approach to model of scientific revolutions
Paweł Kondratiuk, Grzegorz Siudem, Janusz A. Hołyst
The model of scientific paradigms spreading throughout the community of agents with memory is analyzed using the master equation. The case of two competing ideas is considered for…
External bias in the model of isolation of communities
Julian Sienkiewicz, Grzegorz Siudem, Janusz A. Holyst
We extend a model of community isolation in the d-dimensional lattice onto the case with an imposed imbalance between birth rates of competing communities. We give analytical and n…