New behavior of degree distribution in connected communication networks

Marwa Benyoussef, Hamid Ez-Zahraouy () and Abdelilah Benyoussef
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Marwa Benyoussef: Laboratoire de Magnétisme et Physique des Hautes Energies, LMPHE (URAC 12) Departement de physique, Faculté des sciences, Université Mohammed V-Agdal, Rabat, Morocco
Hamid Ez-Zahraouy: Laboratoire de Magnétisme et Physique des Hautes Energies, LMPHE (URAC 12) Departement de physique, Faculté des sciences, Université Mohammed V-Agdal, Rabat, Morocco
Abdelilah Benyoussef: Laboratoire de Magnétisme et Physique des Hautes Energies, LMPHE (URAC 12) Departement de physique, Faculté des sciences, Université Mohammed V-Agdal, Rabat, Morocco

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 09, 1-9

Abstract: The behavior of the degree distribution of two interdependent Barabasi–Albert (BA) sub-networks has been investigated numerically. The final complex structure obtained after connection of the two BA subnets exhibits two different kind of degree distribution law, which depends strongly on the manner in which the connection between the two subnets has been made. When connecting two existing BA subnets, the degree distribution follows a Gaussian distribution, while ensuring that the highest frequency level is still around the average degree of the final network. Whereas, when the connection is established progressively at the same time of the formation of the two BA subnets, the degree distribution follows a power-law scaling observed in real networks. It is also found that the evolution of links formed over a time for a specific node follows the same behavior, as the BA networks.

Keywords: Interdependent networks; degree distribution; Gaussian distribution; power law distribution; Barabasi–Albert network; 89.75.Hc; 89.20.Hh; 89.75.Da (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183114500405

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