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| Both Random and Preferential Attachment —the Inner Motivation in the Evolution of Hypernetworks |
| SUO Qi1,2 , GUO Jinli1
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1. Business School, University of Shanghai for Science and Technology, Shanghai 200093,China;
2. School of Economics and Management, Qingdao University of Science and Technology, Qingdao 266061,China |
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Abstract An evolving hypernetwork model is constructed with both preferential and random attachment. We analyze the model by using Poisson process theory and a continuous technique, and obtain the stationary average hyperdegree distribution of the hypernetwork. The analytical result shows that the stationary average hyperdegree distribution can be described with “shifted power law” (SPL) function form. Our model is also universal, in that the standard model in complex networks and scale-free model in hypernetworks can all be seen as degenerate cases of the model. By adjusting the parameter, the model can reflect the mixed-connection mechanism. In addition, three empirical data are analyzed, and can be effectively described by the model.
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Received: 17 December 2014
Published: 25 February 2025
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