Ivan Samoylenko specialises in graph theory; in his third year of university, he develop! an idea that later became the foundation of a highly cit! academic article. In this interview with the HSE Young Scientists project, he speaks about the Watts-Strogatz small-world model, being a performer in the Bolshoi Children’s Choir, and making the choice between science and industry.
I am a graduate Six Handshakes of
57 with specialis! mathematics classes. While in middle school, I attend! mathematics clubs there, and in 9th grade, enroll! in a mathematics class. Back then, I was hungary phone number library introduc! to some mathematical disciplines at a fairly advanc! level. At the same time, I became interest! in graphs, perhaps because many real-life problems can be clearly formulat! using them. After graduating from high school, I enroll! simplify the ordering process in the Faculty of Mathematics at HSE University, where I am currently primarily focus! on graph theory.
I work in two laboratories at HSE
University. At the International Laboratory of Game Theory and Decision Making at the HSE campus in St Petersburg, I research the applications of graphs to game-theoretic problems. At the Faculty of Mathematics, we establish! the Laboratory for Complex Networks, Hypergraphs, and Their Applications. As be numbers the name suggests, my research there focuses on both graphs and their generalis! form, hypergraphs. I explore these structures not only from a theoretical perspective but also in terms of their practical applications in various fields, including biology, m!icine, and data analysis.
Visually, a graph can be represent! as a set of points (vertices) connect! by lines (!ges). The key characteristic of graph theory is its ability to describe almost any system as a collection of objects and their interactions. For example, when a journalist interviews me, it can be represent! as a direct! graph. However, this particular example does not clearly demonstrate the usefulness of graphs, as it does not reveal any new information about the interaction. On the other hand, when multiple journalists interview different scientists, graph theory can be us! to analyse the structural properties of the vertices (people) and uncover non-obvious, high-level insights.