Discrete scale invariance in scale free graphs

In this work, we introduce an energy function in order to study finite scale free graphs generated with different models. The energy distribution has a fractal pattern and presents log periodic oscillations for high energies. These oscillations are related to a discrete scale invariance of certain g...

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Detalles Bibliográficos
Autores principales:	Graña, M., Pinasco, J.P.
Formato:	JOUR
Materias:	Discrete scale invariance Log periodic oscillations Scale free graphs Distribution functions Finite element method Fractals Statistical methods Energy function Graph theory
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_03784371_v380_n1-2_p601_Grana
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_03784371_v380_n1-2_p601_Grana
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spelling	todo:paper_03784371_v380_n1-2_p601_Grana2023-10-03T15:32:51Z Discrete scale invariance in scale free graphs Graña, M. Pinasco, J.P. Discrete scale invariance Log periodic oscillations Scale free graphs Distribution functions Finite element method Fractals Statistical methods Discrete scale invariance Energy function Log periodic oscillations Scale free graphs Graph theory In this work, we introduce an energy function in order to study finite scale free graphs generated with different models. The energy distribution has a fractal pattern and presents log periodic oscillations for high energies. These oscillations are related to a discrete scale invariance of certain graphs, that is, there are preferred scaling ratios suggesting a hierarchical distribution of node degrees. On the other hand, small energies correspond to graphs with evenly distributed degrees. © 2007 Elsevier B.V. All rights reserved. Fil:Graña, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Pinasco, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03784371_v380_n1-2_p601_Grana
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Discrete scale invariance Log periodic oscillations Scale free graphs Distribution functions Finite element method Fractals Statistical methods Discrete scale invariance Energy function Log periodic oscillations Scale free graphs Graph theory
spellingShingle	Discrete scale invariance Log periodic oscillations Scale free graphs Distribution functions Finite element method Fractals Statistical methods Discrete scale invariance Energy function Log periodic oscillations Scale free graphs Graph theory Graña, M. Pinasco, J.P. Discrete scale invariance in scale free graphs
topic_facet	Discrete scale invariance Log periodic oscillations Scale free graphs Distribution functions Finite element method Fractals Statistical methods Discrete scale invariance Energy function Log periodic oscillations Scale free graphs Graph theory
description	In this work, we introduce an energy function in order to study finite scale free graphs generated with different models. The energy distribution has a fractal pattern and presents log periodic oscillations for high energies. These oscillations are related to a discrete scale invariance of certain graphs, that is, there are preferred scaling ratios suggesting a hierarchical distribution of node degrees. On the other hand, small energies correspond to graphs with evenly distributed degrees. © 2007 Elsevier B.V. All rights reserved.
format	JOUR
author	Graña, M. Pinasco, J.P.
author_facet	Graña, M. Pinasco, J.P.
author_sort	Graña, M.
title	Discrete scale invariance in scale free graphs
title_short	Discrete scale invariance in scale free graphs
title_full	Discrete scale invariance in scale free graphs
title_fullStr	Discrete scale invariance in scale free graphs
title_full_unstemmed	Discrete scale invariance in scale free graphs
title_sort	discrete scale invariance in scale free graphs
url	http://hdl.handle.net/20.500.12110/paper_03784371_v380_n1-2_p601_Grana
work_keys_str_mv	AT granam discretescaleinvarianceinscalefreegraphs AT pinascojp discretescaleinvarianceinscalefreegraphs
_version_	1782025596758392832

Discrete scale invariance in scale free graphs

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