Sumour, Muneer A.
(2018)
*Krapivsky-Redner modification of nonlinear Barabási-
Albert networks.*
Journal of Al Azhar University-Gaza (Natural Sciences), 2018, 20 : 77-85, 20 (1).
pp. 77-85.

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## Abstract

In growing Barabási-Albert (BA) networks, a new node randomly selects an existing target node and attaches to it randomly with a probability r proportional to the number k of neighbors already attached to the target node. Krapivsky and Redner use, also for different networks: "a new node randomly selects an existing target node, but attaches to a random neighbor of this target." In nonlinear BA networks, r is made proportional to kα with α = 1 for the standard BA case. We simulate here nonlinear Barabási- Albert-Krapivsky-Redner (BAKR) networks, where r is applied to the selection of the target, not to the selection of the target neighbor. We use undirected Barabási-Albert networks. For the maximum number kmax of neighbors we find little effect from α, while the distribution n(k) of the number of neighbors has a normal power law and there is no gap or strong peak in the number of neighbors k(i). All this contradicts our earlier simulations without redirection

Item Type: | Article |
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Subjects: | Q Science > QC Physics |

Divisions: | Faculty of Engineering, Science and Mathematics > School of Physics |

Depositing User: | د. منير احمد عبد القادر سمور |

Date Deposited: | 29 Jan 2019 08:25 |

Last Modified: | 29 Jan 2019 08:25 |

URI: | http://scholar.alaqsa.edu.ps/id/eprint/821 |

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