2024/2025

Research Seminar "Complex Networks 2"

Type: Optional course (faculty)

Delivered by: Faculty of Mathematics

Where: Faculty of Mathematics

When: 3, 4 module

Open to: students of all HSE University campuses

Instructors: Ivan Samoylenko

Language: English

ECTS credits: 3

Course Syllabus

Abstract

Complex network theory is a vast science that studies graphs and their evolution. Complexnetwork models are used in many areas of human knowledge (economics, biology, sociology, etc.). In thiscourse, we plan to discuss the main existing methods for analyzing the static and dynamic properties of complexnetworks. At the beginning of the course, we will discuss the main definitions and models that are used in thestudy of complex networks, then selected subjects from various areas of this science will be analyzed: fromstatic properties to collective dynamics.PREREQUISITES:The prerequisites include a minimum understanding of courses in probability theory, math-ematical analysis, linear algebra, and differential equations. Although the necessary concepts will be intro-duced as the story progresses, mastering these disciplines will greatly simplify the understanding of what ishappening