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For understanding dynamical phenomena Barabási and Albert shown a process that has been a useful mathematical method, and was changed in various forms and applied in researching of scale-free networks. We focus on dynamic differential equations like that by Barabási and Albert, and construct network models by the typical and generalized dynamic differential equations. Analysis of degree distribution...
Multiple-partite networks exist in the real world, such as engineering constructions consisted of workers and machines. We build up random multiple-partite network models and show their topological properties by means of well-known methods appeared in the Barabási-Albert model. We find some new characters of the Barabási-Albert model and BA-type models, and show a connection between the degree distribution...
Exploring the topological structures of networks by mathematical methods is powerful and efficient in researching real networks. There are many successful mathematical methods shown in scale-free networks that are forming branches of mathematics and network science. We are motivated from the cumulative degree distribution and edge-cumulative degree distribution of scale-free networks, and discover...
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