Heterogeneity of Scale-free Networks |
| |
| Institution: | 1. Department of Computational and Systems Biology, University of Pittsburgh, Suite 3064 Biomedical Science Tower 3, 3501 Fifth Avenue, Pittsburgh, PA 15260, USA;2. University of Pittsburgh Drug Discovery Institute, University of Pittsburgh, W965 Biomedical Science Tower, 200 Lothrop Street, Pittsburgh, PA 15261, USA;1. Department of Physics, Institute for Complex Systems and Mathematical Biology (ICSMB), University of Aberdeen, AB24 3UE, Aberdeen, UK;2. Institute for Risk and Disaster Reduction, University College London, Gower Street, WC1E 6BT, London, UK;3. Laboratory of Geophysics and Seismology, Technological Educational Institute of Crete, Chania, GR 73133, Crete, Greece;4. Department of Mathematics, Center for Research and Applications of Nonlinear Systems (CRANS), University of Patras, GR 26110, Patras, Rio, Greece;1. Department of Computer Science and Engineering, Thapar University, Patiala, Punjab, India;2. Department of Electronics & Communication Engineering, JPIET, Meerut, UP, India;3. Department of Computer Science and Information Engineering, National Changhua University of Education, Taiwan;1. Research Institute of Forests and Rangelands, P.O. Box 13185-116, Tehran, Iran;2. Payamenoor University, Karaj Branch, Karaj, Iran;3. Faculty of Natural Resources, University of Tehran, Karaj, Iran;4. Peak Science and Environment, Station House, Leadmill, Hathersage, Hope Valley S32 IBA, UK;1. Centro de Astrofísica da Universidade do Porto, Rua das Estrelas, 4150-762 Porto, Portugal;2. Departamento de Física e Astronomia, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal;3. Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, PB, Brazil;4. Institute for Biodiversity and Ecosystem Dynamics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands;5. Escola de Ciências e Tecnologia, Universidade Federal do Rio Grande do Norte, Caixa Postal 1524, 59072-970 Natal, RN, Brazil;6. Departamento de Física, Universidade Estadual de Maringá, Av. Colombo, 5790, 87020-900 Maringá, PR, Brazil |
| |
| Abstract: | The heterogeneity of scale-free networks is studied using the network structure entropy (NSE). The NSE of scale-free networks is presented analytically by introducing the degree-rank function. It is shown that the normalized NSE of scale-free networks is only dependent on the scaling exponent and is independent of the size or the minimum degree of networks when scaling exponent is greater than 2. Given the size and the minimum degree of scale-free networks, it is shown that the NSE reached a minimum value when scaling exponent is about 1.7 and then the scale-free networks become more homogeneous as scaling exponent increases after the minimum value. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
