Repositorio de producción científica de la Universidad de Sevilla

Correlation of automorphism group size and topological properties with program-size complexity evaluations of graphs and complex networks

Opened Access Correlation of automorphism group size and topological properties with program-size complexity evaluations of graphs and complex networks

Citas

buscar en

Estadísticas
Icon
Exportar a
Autor: Zenil, Hector
Soler Toscano, Fernando
Dingle, Kamaludin
Louis, Ard A.
Departamento: Universidad de Sevilla. Departamento de Filosofía y Lógica y Filosofía de la Ciencia
Fecha: 2014
Publicado en: Physica A: Statistical Mechanics and its Applications, 404, 341-358.
Tipo de documento: Artículo
Resumen: We show that numerical approximations of Kolmogorov complexity (K) of graphs and networks capture some group-theoretic and topological properties of empirical networks, ranging from metabolic to social networks, and of small synthetic networks that we have produced. That K and the size of the group of automorphisms of a graph are correlated opens up interesting connections to problems in computational geometry, and thus connects several measures and concepts from complexity science. We derive these results via two different Kolmogorov complexity approximation methods applied to the adjacency matrices of the graphs and networks. The methods used are the traditional lossless compression approach to Kolmogorov complexity, and a normalised version of a Block Decomposition Method (BDM) based on algorithmic probability theory.
Cita: Zenil, H., Soler Toscano, F., Dingle, K. y Louis, A.A. (2014). Correlation of automorphism group size and topological properties with program-size complexity evaluations of graphs and complex networks. Physica A: Statistical Mechanics and its Applications, 404, 341-358.
Tamaño: 1.269Mb
Formato: PDF

URI: http://hdl.handle.net/11441/64148

DOI: 10.1016/j.physa.2014.02.060

Ver versión del editor

Mostrar el registro completo del ítem


Esta obra está bajo una Licencia Creative Commons Atribución-NoComercial-SinDerivar 4.0 Internacional

Este registro aparece en las siguientes colecciones