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Volume 21 Issue №3

Contents

Petrov Andrey Evgenievich
NONPLANAR GRAPHS, DUAL NETWORKS, THE LAW OF CONSERVATION OF ENERGY FLOW: A FUNDAMENTAL PROBLEM THAT REMAINS UNRESOLVED

Papulovskaya Nataliya Vladimirovna, Prytkov Daniil Ivanovich
DIGITAL TWIN OF AN INTERSECTION FOR ADAPTIVE TRAFFIC LIGHT PHASE CONTROL

Balungu Daniel Musafiri, Licin Vladislav Vladimirovich
AGENT-BASED MODELING OF MATERIAL FLOWS IN THE ECONOMY OF THE MUNICIPALITY: A DIGITAL TWIN CONCEPT

Kreyder Oksana Aleksandrovna
EDUCATION FOR SUSTAINABLE DEVELOPMENT. THE EXPERIENCE OF DUBNA UNIVERSITY

Shushunova Tatiana Nikolaevna, Shpilkina Tatyana Anatolyevna, Borisova Olga Viktorovna, Filimonova Nadezhda Nikolaevna
PROJECT ACTIVITIES AND THEIR ROLE IN SUSTAINABLE DEVELOPMENT OF TERRITORIES

Dzitstsoeva Maria Arkadievna
DIGITAL LITERACY IN THE EDUCATIONAL PROCESS AS A FACTOR INFLUENCING THE SUSTAINABLE DEVELOPMENT OF THE TERRITORY

Kanunnikova Anna Mikhailovna
NATIONAL APPROACHES TO ACHIEVING TECHNOLOGICAL SOVEREIGNTY AND THEIR IMPACT ON THE POSITIONING OF COUNTRIES IN INTERNATIONAL TRADE

Karelina Ekaterina Aleksandrovna
THE RELATIONSHIP BETWEEN THE DIGITALIZATION OF INTERNATIONAL TRADE AND THE INTERNATIONALIZATION PROCESSES OF COMPANIES

Avanesov Arkady Artemovich
SYSTEMATIC CYBER-RISK IN INFORMATION RISK INSURANCE

Bykov Andrey Vladimirovich, Solomatina Tamara Borisovna
TRANSFORMATION OF RISKS IN ELECTRONIC COMMERCE: COMPARATIVE ANALYSIS OF TRADITIONAL AND DIGITAL CURRENCIES

NONPLANAR GRAPHS, DUAL NETWORKS, THE LAW OF CONSERVATION OF ENERGY FLOW: A FUNDAMENTAL PROBLEM THAT REMAINS UNRESOLVED

Petrov Andrey Evgenievich, Doctor of Technical Sciences, Professor of the Department of Computer-Aided Design and Engineering, Federal State Budgetary Educational Institution of Higher Education “National University of Science and Technology “MISiS” (NUST MISIS)

Abstract

Duality for nonplanar networks is a fundamental problem that remains unresolved. Kuratowski [5] showed that there is no graph or network dual to a nonplanar network. He demonstrated that there are only two such graphs that cannot be represented on a plane without self-intersections: the bipartite graph on six vertices with nine edges and the complete graph on five vertices with ten edges. The structure of networks dual to nonplanar networks cannot be represented, but it turns out that they correspond to transformation matrices that can be used to calculate responses to influences. Thus, there are no networks, but flows in them do exist, although they have strange properties. Since the dual network can (must) be located in a space dual to the observed space where the given network resides, nonplanar networks can be the contact point between these spaces.
A dual network corresponds to a path transformation matrix that is orthogonal to the transformation matrix of the original network. The strange thing about nonplanarity is that, by connecting individual branches (nine or ten) into increasingly complex networks, a dual network is always obtained. This can be constructed on a plane as a dual graph, or using a transformation matrix orthogonal to the given network. When connecting branches and reaching a nonplanar network, the dual network “disappears,” but with further connections, it reappears.
One might expect that since there is no dual network for a nonplanar network, there would also be no transformation matrix for its paths when going from the simplest network of individual branches to a connected network. Or perhaps this matrix has some singularities. It turns out that the transformation matrix of a nonplanar network has an inverse matrix, meaning there are no singularities. Transposing this inverse matrix yields an orthogonal matrix, which should correspond to the transformation matrix of the dual network.
Theoretically, it is impossible to construct a network dual to a nonplanar network using this matrix. However, when attempting to construct it, it turns out that the “dual” network of a bipartite graph on six vertices is similar to the complete graph on five vertices, although not completely – one branch is missing. When attempting to construct a “dual” network of a complete graph on five vertices, the resulting network is similar to the bipartite graph on six vertices, although not completely – one branch appears to be superfluous.
Thus, the transformation matrix of a nonplanar network exists, indicating that a corresponding network must also exist. Using the transformation matrix of a network dual to a nonplanar network, one can calculate the network’s solution matrix, represented by the metric tensor of its structure, although its form cannot be explicitly represented. This article discusses the results of research into the structure and processes in networks dual to nonplanar networks that cannot be represented. The practical interest of this problem lies in the fact that a bipartite graph on six vertices can be interpreted as three product-producing industries connected by supplies, i.e., this graph is at the core of economics and its model. The money supply network is dual to the product production network. A nonplanar graph in the product flow network can generate inconsistencies and contradictions in the money supply network.

KEYWORDS: nonplanar graph, dual network, transformation matrix, duality invariant, energy flow conservation law.

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DIGITAL TWIN OF AN INTERSECTION FOR ADAPTIVE TRAFFIC LIGHT PHASE CONTROL

Papulovskaya Nataliya Vladimirovna, Candidate of Pedagogical Sciences, Associate Professor, Associate Professor of the Department of Information Technologies and Control Systems, Ural Federal University named after the first President of Russia B.N. Yeltsin

Prytkov Daniil Ivanovich, Postgraduate Student of the Department of Information Technologies and Control Systems, Ural Federal University named after the first President of Russia B.N. Yeltsin

Abstract

The paper presents the development of an adaptive traffic control system (ATCS) for a single intersection, aimed at increasing its throughput. The proposed solution is a digital prototype of an intelligent ATCS implemented in Python and equipped with a graphical user interface (GUI) for monitoring and adjustment. A computer vision module based on the YOLOv4-Tiny neural network was integrated for collecting data on vehicles and pedestrians. The system implements a control algorithm that adjusts traffic light phase timings in real time according to three designed scenarios: night mode, peak hours, and medium load. For comparative efficiency analysis, a digital twin (DT) simulation model was developed in AnyLogic. The simulation included throughput assessment under different scenarios. The results showed that the introduction of adaptive control algorithms reduces the average intersection travel time by 14–32% compared to traditional static algorithms.

KEYWORDS: digital twin, traffic control system, traffic light, adaptive control, intersection, simulation modeling, computer vision.

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AGENT-BASED MODELING OF MATERIAL FLOWS IN THE ECONOMY OF THE MUNICIPALITY: A DIGITAL TWIN CONCEPT

Balungu Daniel Musafiri, Postgraduate student, Assistant Basic Department of Big Data Analytics and Video Analysis Methods, Ural Federal University named after the first President of Russia B.N. Yeltsin

Licin Vladislav Vladimirovich, Student, Basic Department of Big Data Analytics and Video Analysis Methods, Ural Federal University named after the first President of Russia B.N. Yeltsin

Abstract

This study presents the concept of a digital twin for modeling material flows in the economy of a municipality. A simplified agent-based model that reproduces the movement of goods and services between key participants in the economic system (households, enterprises of various industries, and local governments) has been developed. The research is based on a scenario analysis that includes three areas: fiscal policy, crisis situations, and infrastructure projects. The simulation results revealed a nonlinear relationship between the tax burden and budget revenues and also demonstrated the effect of sectoral asymmetry (different industry responses to identical management impacts). The scientific novelty of the work lies in the development of a methodology for integrating agent-based modeling with the concept of digital twins for municipal management tasks. The practical significance is confirmed by the conclusions about the critical 6-month period for the implementation of anti-crisis measures and the identified budget payback of logistics projects (3.2 years). The model allows predicting the consequences of management decisions, taking into account the spatial distribution of economic activity, intersectoral relationships, and adaptive behavior of economic agents. The obtained results can be used to optimize municipal economic policy and develop socio-economic development programs.

KEYWORDS: digital twin, agent-based modeling, municipal economy, NetLogo, scenario analysis, material flows.

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EDUCATION FOR SUSTAINABLE DEVELOPMENT. THE EXPERIENCE OF DUBNA UNIVERSITY

Kreyder Oksana Aleksandrovna, Candidate of Technical Sciences, Associate Professor, Federal State Budgetary Educational Institution of Higher Education Dubna University

Abstract

The article examines the concept of sustainable development through the lens of V.I. Vernadsky’s noospheric approach and its reflection in Russia’s modern educational system. It highlights Education for Sustainable Development (ESD) as a key tool for harmonizing the “nature–society–human” relationship. The experience of the University of Dubna in developing a systemic and innovative approach to ESD is analyzed. The paper emphasizes interdisciplinarity, lifelong learning, and the humanistic orientation of 21st-century education.
The article was prepared as a report for the section “Education for Sustainable Development of Territories” of the IV annual international scientific and practical conference “Digital Transformation of the International Economic System” (October 2, 2025, MGIMO University of the Ministry of Foreign Affairs of Russia).

KEYWORDS: sustainable development, noosphere, education for sustainable development (ESD), systemic approach, interdisciplinarity, innovative education, humanistic values, Dubna University.

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PROJECT ACTIVITIES AND THEIR ROLE IN SUSTAINABLE DEVELOPMENT OF TERRITORIES

Shushunova Tatiana Nikolaevna, Cand. Sci. (Technical), Assoc. Prof., Assoc. Prof. of the Department of Management and Marketing D.I. Mendeleev Russian University of Chemical Technology (D.I. Mendeleev Russian Technical Technical University)

Shpilkina Tatyana Anatolyevna, Cand. Sci. (Econ.), Assoc. Prof., Assoc. Prof. of the Department of Management and Marketing D.I. Mendeleev Russian University of Chemical Technology (D.I. Mendeleev Russian Technical Technical University)

Borisova Olga Viktorovna, Cand. Sci. (Econ.), Assoc. Prof., Assoc. Prof. of the Department of Management and Marketing D.I. Mendeleev Russian University of Chemical Technology (D.I. Mendeleev Russian Technical Technical University)

Filimonova Nadezhda Nikolaevna, Cand. Sci. (Econ.), Assoc. Prof., Assoc. Prof. of the Department of «Finance and banking» Russian New University (RosNOU)

Abstract

The article examines the role of project activities in the sustainable development of territories. The authors have studied the importance of project management in the implementation of the sustainable development concept, and have outlined the current problems of the future sustainable development of urbanized territories and the investment attractiveness of regions in modern rhetoric. Various scientific approaches are considered, with a focus on the concept of a green city or eco-city, where the city of the future is not only a city of smart technologies, but also a city of smart finances, where each environmental priority has a well-structured and economically sound financing mechanism that makes it attractive for both the city budget and private capital.
The article was prepared as a report for the section “Education for Sustainable Development of Territories” of the IV annual international scientific and practical conference “Digital Transformation of the International Economic System” (October 2, 2025, MGIMO University of the Ministry of Foreign Affairs of Russia).

KEYWORDS: project, sustainable development, territories, urban environment, investments, green bonds, circular economy, eco-city, national projects.

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DIGITAL LITERACY IN THE EDUCATIONAL PROCESS AS A FACTOR INFLUENCING THE SUSTAINABLE DEVELOPMENT OF THE TERRITORY

Dzitstsoeva Maria Arkadievna, Lecturer at the Department of Regional Management and National Policy, the Odintsovo Branch of the Moscow State Institute of International Relations (University) Ministry of Foreign Affairs of the Russian Federation, Odintsovo, Russia

Abstract

The article considers digital literacy in the educational process as a factor that has a direct impact on the sustainable development of the territory. The article also reveals the fact that digital transformation directly affects the sustainable development of the territory, but it is completely impossible given the low digital literacy of the population. The report examines the relationship between digital literacy and sustainable development of the territory, suggests the results of a focus group (among 4th-year students), and relevant educational practices for improving digital literacy during university studies.
The article was prepared as a report for the section “Education for Sustainable Development of Territories” of the IV annual international scientific and practical conference “Digital Transformation of the International Economic System” (October 2, 2025, MGIMO University of the Ministry of Foreign Affairs of Russia).

KEYWORDS: digital literacy, digitalization, sustainable development, digital transformation.

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NATIONAL APPROACHES TO ACHIEVING TECHNOLOGICAL SOVEREIGNTY AND THEIR IMPACT ON THE POSITIONING OF COUNTRIES IN INTERNATIONAL TRADE

Kanunnikova Anna Mikhailovna, Candidate of Economic Sciences, Senior Lecturer, Department of World Economy and International Economic Relations, Federal State Budgetary Educational Institution of Higher Education, State University of Management

Abstract

Countries are striving to develop critical technologies that are essential for the structural transformation of their economies and enhancing their international competitiveness. The pandemic and current geopolitical challenges have heightened the risks of technological interdependence among countries. The advantages and disadvantages of technological sovereignty can be explained through interdisciplinary research, but achieving it requires a productive and balanced approach. Technological sovereignty is a concept that goes beyond data and technology regulation and entails funding innovation and stimulating innovative entrepreneurship. At the same time, we note significant differences in the approaches of key countries to managing digital sovereignty.
The article was prepared as a report for the section “Education for Sustainable Development of Territories” of the IV annual international scientific and practical conference “Digital Transformation of the International Economic System” (October 2, 2025, MGIMO University of the Ministry of Foreign Affairs of Russia).

KEYWORDS: digitalization, internationalization, international trade, small and medium-sized enterprises (SMEs), economic globalization, digital technologies.

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THE RELATIONSHIP BETWEEN THE DIGITALIZATION OF INTERNATIONAL TRADE AND THE INTERNATIONALIZATION PROCESSES OF COMPANIES

Karelina Ekaterina Aleksandrovna, Candidate of Economic Sciences, Associate Professor, Associate Professor of the Department of World Economy and International Economic Relations, Federal State Budgetary Educational Institution of Higher Education “State University of Management”

Abstract

Economic globalization, coupled with digitalization, has become a key general trend impacting the international business environment and the formation of new business models. The pervasive nature of digitalization enables companies of all types and sizes to rapidly internationalize. The internationalization of companies has become a crucial factor in their scaling into global markets and increasing international competitiveness, especially in the context of increasing economic interdependence on a global scale. This article demonstrates that digitalization is gradually transforming international trade, accelerating the internationalization of companies.
The article was prepared as a report for the section “Education for Sustainable Development of Territories” of the IV annual international scientific and practical conference “Digital Transformation of the International Economic System” (October 2, 2025, MGIMO University of the Ministry of Foreign Affairs of Russia).

KEYWORDS: digitalization, internationalization, international trade, small and medium-sized enterprises (SMEs), economic globalization, digital technologies.

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SYSTEMATIC CYBER-RISK IN INFORMATION RISK INSURANCE

Avanesov Arkady Artemovich, postgraduate student, Higher School of Management, RUDN University

Abstract

This article examines the impact of a systematic cyber risk on information risk insurance. The study defines the nature of cyber risk, as well as the insurance market’s key risk management opportunities, taking into account the systemic nature of cyber risk in cyber insurance. To achieve this goal, a review of studies by domestic and international researchers, as well as industry reports, was conducted.
The article was prepared as a report for the section “Education for Sustainable Development of Territories” of the IV annual international scientific and practical conference “Digital Transformation of the International Economic System” (October 2, 2025, MGIMO University of the Ministry of Foreign Affairs of Russia).

KEYWORDS: digitalization of the economy, cyber-risk, systemic cyber risk, cyber risk insurance, risk management.

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