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Бинарные отношения, графы и коллективные решения. Примеры и задачи
M. :
Urait, 2021.
Priority areas:
mathematics
Language:
Russian
Publication based on the results of:
Sinitsyn M., Весь мир, 2025.
The global transportation sector is undergoing a major transformation associated with the transition to a low-carbon economy and the expanded use of alternative energy sources. In recent decades, the substitution of petroleum-based motor fuels with their substitutes – primarily biofuels and electric power (electric vehicles) – in light-duty road transport has accelerated. Public policy at ...
Added: June 5, 2026
Идея-Пресс, 2026.
The year 2025 was marked by deepening contradictions between the leading world powers in world politics and economics. The dominant paradigm is the transition of the world's leading players, primarily the United States, to fierce competition in order to promote and realize national interests. In this context, political polarization has increased in many countries of ...
Added: June 5, 2026
Sinitsyn M., Экономика строительства 2025 № 10 С. 265–268
This article analyzes recent trends in the global fuel cell electric vehicle market, including declining sales and weakening government incentives, China's support for the development of hydrogen-powered trucks. It shows that the purchase price and fuel costs of hydrogen vehicles are higher than those of diesel and electric vehicles. Hydrogen from coal and natural gas ...
Added: June 5, 2026
Sinitsyn M., Анализ и прогноз. Журнал ИМЭМО РАН 2025 № 3 С. 25–35
The article assesses life-cycle greenhouse gas emissions of internal combustion engine vehicles and battery electric vehicles including emissions from production, operation, maintenance, battery replacement and disposal. The author uses data on the carbon intensity of electricity generation in the European Union, USA and China – leaders in global energy transition – to estimate greenhouse gas ...
Added: June 5, 2026
Medvedev T. V., Pochinka O., Chaos 2026 Vol. 36 No. 6 Article 063107
We consider 3-diffeomorphisms with source–sink dynamics where Smale solenoids play the role of the source and the sink (NSSS-diffeomorphisms). It is known that such diffeomorphisms exist only on lens spaces. On the 3-sphere, every NSSS-diffeomorphism is associated with an exchangeable braid. An exchangeable braid with the strand number n was constructed for each n 3 in such a way ...
Added: June 4, 2026
Nozdrinova E., Pochinka O., Shmukler V., Математический сборник 2026 Т. 217 № 6 С. 71–89
Гомеоморфизмы топологических пространств называются эквивалентными по надстройке, если надстройки над ними топологически эквивалентны. В частности, топологически сопряженные гомеоморфизмы эквивалентны по надстройке. Известно, что для гомологически неприводимых гомеоморфизмов их топологическая сопряженность является необходимым и достаточным условием их эквивалентности по надстройке. Тогда как инварианты топологической сопряженности гомологически приводимых гомеоморфизмов во многих случаях являются избыточными для эквивалентности по ...
Added: June 3, 2026
Kravtsova M., Musaev A. U., Welzel C., / Series "SSRN Working Paper Series". 2026.
Elaborating on Welzel et al.'s "Cool Water Theory," our study zooms into the more limited (albeit still varied) framework conditions of Russia's huge territory. Within Russia's confines, we examine how the combination of moderately cool seasons with steady rain (i.e., Cool Water) affects sub-national areas' contemporary societal progress in two modernization indicators: material prosperity in ...
Added: June 3, 2026
Блохин А. А., Larionov A., Вестник Российской академии наук 2026 Т. 96 № 6 С. 564–574
The study confirms the importance of institutional factors in the formation of digital ecosystems. Their advantages for participants consist in the creation of a common environment with reduced transaction costs. Such an advantage is created by the dominant large business in it, organizing the ecosystem, based on its access to information arrays, a wide network ...
Added: June 3, 2026
Styrin E. M., Sanina A., Ataeva A. et al., Public administration and development 2026 P. 1–18
Digital public procurement is increasingly implemented through e-procurement platforms, yet evidence on the governance capabilities needed to deliver transparency, coordination and organisational learning remains limited outside high-capacity contexts. This article reframes public procurement as a socio-technical platform ecosystem and develops an ecosystem capability framework that links three tiers (government, platform operators and users) to three ...
Added: June 2, 2026
Shirokova G., Bystrov Arsenii, Tyutneva Anna, Foresight and STI Governance 2026 Vol. 20 No. 2 Article 31636
Small and medium-sized enterprises (SMEs) operate under conditions of chronic resource constraints, which makes it important to study strategies capable of transforming available resources into sustainable financial outcomes. One such strategy is entrepreneurial bricolage - the unconventional recombination of existing resources to address organizational challenges. This article examines the impact of bricolage on SME performance, ...
Added: June 2, 2026
Gnetov F., Konakov V., Успехи математических наук 2026 Т. 81 № 3 (489) С. 161–162
Пусть M обозначает симметрическое пространство некомпактного типа ранга 1. Опираясь на фундаментальную работу [1], в [2] было показано, что плотность соответствующим образом нормированной суммы независимых Hn-значных случайных величин, определенная через сложение Мёбиуса в модели шара Пуанкаре, сходится к фундаментальному решению соответствующего уравнения теплопроводности. Пределом являлся нормальный закон на Hn, соответствующий ядру теплопроводности, определяемому оператором Лапласа–Бельтрами. ...
Added: June 2, 2026
Rincon C. J., Journal of Economic Studies 2026 P. 1–18
Purpose
This study assesses the impact of the European Central Bank's (ECB) Unconventional Monetary Policy (UMP) on economic growth via its effects on sovereign bond yields in the Eurozone. Unlike previous studies that focus on high-frequency data and short-term effects, this study provides evidence on the long-term effects of the ECB's asset purchases on key macroeconomic ...
Added: June 2, 2026
Biryukova A., Zasimova L. S., Вопросы статистики 2026 Т. 33 № 2 С. 40–57
The paper examines changes in the economic affordability of cigarettes in Russian regions in 2011–2023. Using fixed-effects models, it estimates the impact of prices, incomes, and tobacco affordability (the ratio of per capita income to cigarette price), on three indicators: retail sales of cigarettes per capita, adult population spending on tobacco products, and the share of these ...
Added: June 1, 2026
Saakyan T. V., Региональная экономика и управление: электронный научный журнал 2023 № 4 (76) Статья 41
The article is devoted to the analysis of conditions influencing the choice of the option of selecting the recipients of subsidies in order to provide them with state budget support. The results of the analysis of possible actions of subnational authorities and local governments in the transition to a new procedure for selecting recipients of ...
Added: June 1, 2026
Saakyan T. V., Финансовые рынки и банки 2024 № 4 С. 92–100
The publication presents the results of a study focusing on the legal foundations and practical aspects of state financial control in the Russian Federation. Particular attention is paid to the analysis of legal regulations governing control activities aimed at assessing compliance with the requirements of Russian legislation by participants in relations arising in the process ...
Added: June 1, 2026
Saakyan T. V., Финансовые рынки и банки 2024 № 8 С. 52–64
The article is devoted to the review of the development of legislative and regulatory legal acts in terms of gradual unification and standardization of legal regulation of the provision of state support in the form of subsidies and gradual transition to unified rules for the provision of subsidies and the procedure for selecting recipients. The ...
Added: June 1, 2026
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
Taletskii D., / Series arXiv "math". 2026.
A vertex subset of a graph is called a \textit{distance-$k$ independent set} if the distance between any two of its distinct vertices is at least $k + 1$. For all $n,k \geq 1$, we determine the minimum possible number of inclusion-wise maximal distance-$k$ independent sets among all $n$-vertex trees. It equals~$n$ if $n \leq k ...
Added: May 1, 2026
Ovcharenko M., / Series arXiv "math". 2026.
We introduce an explicit class of tempered Laurent polynomials in the sense of Villegas and Doran--Kerr in n⩽4 variables including all Landau--Ginzburg models for smooth Fano threefolds with very ample anticanonical class. We check that it contains Landau--Ginzburg models for various Fano fourfolds which are complete intersections in smooth toric varieties and Grassmannians of planes, ...
Added: April 30, 2026
Zlotnik Alexander, / Series arXiv "math". 2026. No. 2602.03481v1.
We deal with the global in time weak solutions to the 1D compressible Navier-Stokes system of equations for large discontinuous initial data and nonhomogeneous boundary conditions of three standard types. We prove the Lipschitz-type continuous dependence of the solution $(\eta,u,\theta)$, in a norm slightly stronger than $L^{2,\infty}(Q)\times L^2(Q)\times L^2(Q)$, on the initial data $(\eta^0,u^0,e^0)$ in a ...
Added: April 18, 2026
Medvedev V., / Series arXiv "math". 2026.
We investigate the interplay between the dimension of the space of static potentials and the geometric and topological structure of the underlying static three-manifold. A partial classification of boundaryless static manifolds is obtained in terms of this dimension. We also treat the case of static manifolds with boundary. In particular, we prove that if a ...
Added: April 3, 2026
Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.
Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...
Added: April 2, 2026
Kolesnikov A., / Series arXiv "math". 2025.
We study Blaschke--Santal{ó}-type inequalities for N>=2 sets (functions) and a special class of cost functions. In particular, we prove new results about reduction of the maximization problem for the Blaschke--Santal{ó}-type functional to homogeneous case (functional inequalities on the sphere) and extend the symmetrization argument to the case of N>2 sets.
We also discuss links to the ...
Added: February 13, 2026
Sorokin K., Beketov M., Онучин А. et al., / arxiv.org. Серия cs.SI "Social and Information Networks ". 2025.
Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge weights (their metric lengths) according to their (combinatorial) Foster version of Ricci curvature computed from effective resistance distance between the ...
Added: January 15, 2026