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Simulation Results on a Triangle-Based Network Evolution Model

Fazekas, István and Barta, Attila and Noszály, Csaba (2020) Simulation Results on a Triangle-Based Network Evolution Model. Annales Mathematicae et Informaticae, 51. pp. 7-15. ISSN 1787-6117

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Abstract

We study a continuous time network evolution model. We consider the collaboration of three individuals. In our model, it is described by three connected vertices, that is by a triangle. During the evolution new collaborations, that is new triangles are created. The reproduction of the triangles is governed by a continuous time branching process. The long time behaviour of the number of triangles, edges and vertices is described. In this paper, we highlight the asymptotic behaviour of the network by simulation results.

Item Type: Article
Uncontrolled Keywords: random graph, network, branching process, Malthusian parameter
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Depositing User: Tibor Gál
Date Deposited: 03 Aug 2020 14:58
Last Modified: 03 Apr 2023 06:52
URI: http://real.mtak.hu/id/eprint/111840

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