Study of the Giant Cluster Formation in Random Networks with no Cycles.

Student: Spirin Alexei

Supervisor: Mikhail Tamm

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

Educational Programme: Mathematical Methods of Modelling and Computer Technologies (Master)

Year of Graduation: 2017

The master thesis contains research of random networks without cycles. We describe the modeling process and some of the algorithms that are implemented for analysis of statistical properties of graphs using adjacency matrix. The main emphasis is placed on investigating cluster size distribution, node degree distribution and giant component distribution. The results are compared with Erdős–Rényi model which we review in the first chapter.

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