Discrete scale invariance in scale free graphs

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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
Autor principal: Graña, M.
Otros Autores: Pinasco, J.P
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2007
Acceso en línea:Registro en Scopus
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Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
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100 1 |a Graña, M. 
245 1 0 |a Discrete scale invariance in scale free graphs 
260 |c 2007 
270 1 0 |m Graña, M.; Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Pab. 1, 1428 Ciudad de Buenos Aires, Argentina; email: matiasg@dm.uba.ar 
506 |2 openaire  |e Política editorial 
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504 |a Sornette, D., Discrete scale invariance and complex dimensions (1998) Phys. Rep., 297, p. 239. , cond-mat/9707012 
504 |a Levitin, M., Vassiliev, D., Spectral asymptotics (1996) renewal theorem and the Berry conjecture for a class of fractals, Proc. London Math. Soc., 72 (3), p. 188 
504 |a Serrano, M.A., Boguñá, M., Topology of the World Trade Web (2003) Phys. Rev. E, 68, pp. 015101R 
504 |a Bachnik, W., Szymczyk, S., Leszczynski, P., Podsiadlo, R., Rymszewicz, E., Kurylo, L., Makowiec, D., Bykowska, B., Quantitive and sociological analysis of Blog networks (2005) Acta Phys. Pol. B, 36 (10), p. 2435. , physics/0506051 
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520 3 |a 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.  |l eng 
536 |a Detalles de la financiación: Fundación Antorchas 
536 |a Detalles de la financiación: Fundación Antorchas 
536 |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas 
536 |a Detalles de la financiación: M.G. is partially supported by Fundación Antorchas and CONICET. J.P.P. is partially supported by Fundación Antorchas and ANPCyT. Appendix A 
593 |a Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Pab. 1, 1428 Ciudad de Buenos Aires, Argentina 
593 |a Instituto de Ciencias, Universidad de General Sarmiento, J.M.Gutierrez 1150, (1613) Los Polvorines, Buenos Aires, Argentina 
690 1 0 |a DISCRETE SCALE INVARIANCE 
690 1 0 |a LOG PERIODIC OSCILLATIONS 
690 1 0 |a SCALE FREE GRAPHS 
690 1 0 |a DISTRIBUTION FUNCTIONS 
690 1 0 |a FINITE ELEMENT METHOD 
690 1 0 |a FRACTALS 
690 1 0 |a STATISTICAL METHODS 
690 1 0 |a DISCRETE SCALE INVARIANCE 
690 1 0 |a ENERGY FUNCTION 
690 1 0 |a LOG PERIODIC OSCILLATIONS 
690 1 0 |a SCALE FREE GRAPHS 
690 1 0 |a GRAPH THEORY 
700 1 |a Pinasco, J.P. 
773 0 |d 2007  |g v. 380  |h pp. 601-610  |k n. 1-2  |p Phys A Stat Mech Appl  |x 03784371  |w (AR-BaUEN)CENRE-280  |t Physica A: Statistical Mechanics and its Applications 
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