Distribution of number of neighbors on semi-directed Barab'asi-Albert networks with many initial neighbors

Sumour, Muneer A. and Lima, F. W. and Radwan, Mohammed A. and Shabat, M. M. (2015) Distribution of number of neighbors on semi-directed Barab'asi-Albert networks with many initial neighbors. Al-Aqsa University Journal (Natural Sciences Series), 19 (1). pp. 50-62. ISSN ISSN 2070-3155 (Print), ISSN 2521-893X (Online)

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Abstract

On directed and undirected Barba'asi-Albert networks, when a new node has selected m old nodes as neighbors, hen the m old nodes are added to the Kert'esz list, and the new node is also added m times to that list. These onnections are made with m randomly selected elements of that list. If one adds to the list the m old nodes, plus only once and not m times the new node, one gets a semi- directed network (SDBA). Now we check the number of neighbors on two versions (SDBA1 and SDBA2) for semi-directed Barba'asi-Albert networks. We found that SDBA2 does not give proper power laws for large m but it does so for small m, whereas SDBA1 gives proper power laws for large and small m. The resulting exponents vary with m.

Item Type: Article
Uncontrolled Keywords: Directed BA networks , Undirected BA network , Semi-directed BA network.
Subjects: Q Science > QC Physics
Divisions: Faculty of Engineering, Science and Mathematics > School of Physics
Depositing User: Mr. Ahmed A, Ouda
Date Deposited: 16 Jan 2018 08:51
Last Modified: 27 Mar 2018 09:42
URI: http://scholar.alaqsa.edu.ps/id/eprint/33

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