• A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site

Structure and Properties of Two-Color Random Networks with 3-Particle Interactions

Student: Klimenkova Olga

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: 2018

In this work we study the model of an exponential graph consisting of vertices of two colors: black and white. In the initial state, we start with an Erdos-Renyi graph, then, as a result of repeated application of the Metropolis algorithm, which favors the formation of single-color triads, the graph comes to an equilibrium state. It was known from the literature that in such a system there is a wide region in which the equilibrium number of multi-colored bonds remains almost constant while the energy of single-color triangles changes. The aim of this work is to study in detail the structure and behavior of the system in the vicinity of this supposed plateau.

Student Theses at HSE must be completed in accordance with the University Rules and regulations specified by each educational programme.

Summaries of all theses must be published and made freely available on the HSE website.

The full text of a thesis can be published in open access on the HSE website only if the authoring student (copyright holder) agrees, or, if the thesis was written by a team of students, if all the co-authors (copyright holders) agree. After a thesis is published on the HSE website, it obtains the status of an online publication.

Student theses are objects of copyright and their use is subject to limitations in accordance with the Russian Federation’s law on intellectual property.

In the event that a thesis is quoted or otherwise used, reference to the author’s name and the source of quotation is required.

Search all student theses