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Monte-Carlo Simulation of Complex Networks

Student: Korneeva Alexandra

Supervisor: Olga V. Valba

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Applied Mathematics (Bachelor)

Year of Graduation: 2019

The study of complex networks has a big capacity and widely used at the present time. Topological properties are important because they determine the functioning of the system. In this paper we consider two mechanisms of randomization of the network, one retains the degree of all vertices, the second in addition to the degrees retains the coefficient of assorted. It also implements the metropolis algorithm, with which the task is to obtain a network configuration with clustering close to the observed. In the study, these algorithms were implemented in the programming language Python, and the analysis of these mechanisms, based on the properties of networks. At the end of the work the conclusions about the data of modeling of complex real networks are made.

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