Random hyperbolic graphs in d+1 dimensions.

Autor: Budel G; Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, 2628 CD, Delft, the Netherlands., Kitsak M; Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, 2628 CD, Delft, the Netherlands., Aldecoa R; Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA.; Network Science Institute, Northeastern University, Boston, Massachusetts 02115, USA., Zuev K; Department of Computing and Mathematical Sciences, California Institute of Technology, Pasadena, California 91125, USA., Krioukov D; Network Science Institute, Northeastern University, Boston, Massachusetts 02115, USA.; Department of Physics, Department of Mathematics, Department of Electrical & Computer Engineering, Northeastern University, Boston, Massachusetts 02115, USA.
Jazyk: angličtina
Zdroj: Physical review. E [Phys Rev E] 2024 May; Vol. 109 (5-1), pp. 054131.
DOI: 10.1103/PhysRevE.109.054131
Abstrakt: We consider random hyperbolic graphs in hyperbolic spaces of any dimension d+1≥2. We present a rescaling of model parameters that casts the random hyperbolic graph model of any dimension to a unified mathematical framework, leaving the degree distribution invariant with respect to the dimension. Unlike the degree distribution, clustering does depend on the dimension, decreasing to 0 at d→∞. We analyze all of the other limiting regimes of the model, and we release a software package that generates random hyperbolic graphs and their limits in hyperbolic spaces of any dimension.
Databáze: MEDLINE