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Исследование перспективных топологий сетей на кристалле: применение корневого и прямого произведений графов Пэли
С. 9–16.
This paper provides an overview of existing network-on-a-chip (NoC) topologies. The study of Paley graphs as a topological graph basis for the design of NoC is carried out. Various modifications of circulant graphsare considered.The main focus of the research is directed to the study of the direct and root products of Paley graphs,the substantiation of the irrelevance of considering tensor, lexicographic and strong products of graphs is given. The comparison of the most important parameters of the graphs, which directly affect the main parameters of networks-on-chip, including the network bandwidth and the speed of data transfer between network nodes, is performed.
In book
Вып. 1. , ИППМ РАН, 2021.
Stukach O., В кн.: Международная научно-техническая конференция РЭиС-2025Т. 1.: Омский научно-исследовательский институт приборостроения, 2025. С. 124–126.
На основе идеологии нечёткой логики предложены алгоритмы и набор правил для выявления перегрузок маршрутизаторов сети на кристалле (Network-on-Chip, NoC). Разработанные алгоритмы позволяют рассчитывать вероятность перегрузки маршрутизаторов и для различных сценариев нагрузки строить тепловые карты состояния сети. Многочисленные примеры показали эффективность предложенных алгоритмов своевременного выявления перегрузок, что даёт широкую возможность адаптации протоколов маршрутизации в сетях NoC ...
Added: March 16, 2026
Mikhail Y. Romashikhin, Aleksandr Y. Romanov, IEEE Access 2026 Vol. 14 P. 7921–7931
This paper presents a hardware-software multi-FPGA complex designed for hardware prototyping of networks-on-chip (NoCs). The rationale for the use of multiple FPGAs for NoC prototyping is given. The architecture of the complex and its components–the software part generating top-level files and configuration files describing the NoC for several FPGAs, hardware part consisting of interfacing switches ...
Added: January 22, 2026
Malikov M., Romanov A., IEEE Access 2025 Vol. 13 P. 148803–148815
Networks-on-chip (NoCs) widespread in computing system design are used in many applications. A critical NoC aspect is the interaction between computing cores and in particular the traffic patterns. The relevance of this work stems from the fact that traffic patterns in NoCs are poorly understood and have no general classification; and there are no universal ...
Added: September 16, 2025
E. R. Rzaev, Monakhova E. A., A. Y. Romanov, Lobachevskii Journal of Mathematics 2024 Vol. 45 No. 12 P. 6581–6593
Circulant graphs is a promising topology for network applications. This paper is devoted to the development of new software for searching optimal circulant graphs by the criteria of minimizing the average length of shortest paths and diameter. A new version of the algorithm for searching optimal circulant graphs with low time complexity is proposed. New ...
Added: March 27, 2025
Romanov A., Lerner A., Amerikanov A., The Journal of Supercomputing 2024 No. 80 P. 22462–22478
On-chip networks (NoCs) have become a popular choice for designing large multiprocessor architectures. Software-based emulation is often used to perform the design verifcation. However, if the considered design is sufciently large, softwarebased emulation becomes impractically slow. To avoid this limitation, multi-FPGA emulation was introduced, where multiple interconnected FPGAs collectively emulate a single circuit. The number ...
Added: June 30, 2024
Mikhail Yu. Romashikhin, , in: Proceedings 2024 International Russian Smart Industry Conference (SmartIndustryCon), 25-29 March 2024.: Sochi: IEEE, 2024. P. 104–108.
This article describes the implementation of regular topologies for networks-on-chip. The complexity of network development and its main parameters depend on the choice of topology. The rationale for the influence of topology on network bandwidth is given. Software that automates the generation of configuration files (bitstream) for the implementation of networks-on-chip with different topologies and ...
Added: May 13, 2024
Sukhov A., Romanov A., Selin M., Symmetry 2024 Vol. 16 No. 1 Article 127
In this work, the circulant topology as an alternative to 2D mesh in networks-on-chip is considered. A virtual coordinate system for numbering nodes in the circulant topology is proposed, and the principle of greedy promotion is formulated. The rules for constructing the shortest routes between the two nodes based on coordinates are formulated. A technique ...
Added: March 8, 2024
Amerikanov A., Таржанов Т. В., Romanova I. et al., Труды Института системного программирования РАН 2023 Т. 35 № 5 С. 67–80
The paper analyzes the existing methods to optimize the time costs and increase the accuracy of calculations in the high-level simulation of networks-on-chip. The description of parameters and characteristics of networks-on-chip calculated by different models is given, and their influence on the speed of high-level simulation is analyzed. Adaptation of existing methods of modeling optimization ...
Added: March 8, 2024
A. M. Sukhov, A. Y. Romanov, A. A. Amerikanov, Lobachevskii Journal of Mathematics 2023 Vol. 44 No. 12 P. 5453–5459
The paper gives a solution for the problem of the topology of the communication subsystem graph for high-performance multi-core computing systems. In this graph, each vertex is connected to four neighbors, and the number of vertices is the maximum for a given graph diameter. The solution to this problem is the family of circulants C(D(D+1)+1; ...
Added: January 6, 2024
Sukhov A., Romanov A., Глушак Е. В., Ученые записки Казанского университета. Серия: Физико-математические науки 2023 Т. 165 № 3 С. 282–293
The article discusses routing methods in two-dimensional circulant graphs (each vertex is connected to four neighboring ones). The unique group of symmetries of the circulant graph makes it possible to use it as a topology for high performance computing devices, including networks-on-chip and cluster supercomputers. It is shown that the minimum number of transitions along ...
Added: January 5, 2024
Barinova M., Shustova E., Журнал Средневолжского математического общества 2023 Т. 25 № 2 С. 11–21
This paper is devoted to the construction of an energy function, i.e. a smooth Lyapunov function, whose set of critical points coincides with the chain-recurrent set of a dynamical system — for a cascade that is a direct product of two systems. One of the multipliers is a structurally stable diffeomorphism given on a two-dimensional ...
Added: August 2, 2023
Romanov A., Big Data and Cognitive Computing 2023 Vol. 7 No. 2 Article 80
This article presents software for the synthesis of circulant graphs and the dataset obtained. An algorithm and new methods, which increase the speed of finding optimal circulant topologies, are proposed. The results obtained confirm an increase in performance and a decrease in memory consumption compared to the previous implementation of the circulant topologies synthesis method. ...
Added: June 4, 2023
Lezhnev E., Проблемы разработки перспективных микро- и наноэлектронных систем (МЭС) 2021 № 1 С. 46–50
The process of designing a network-on-chip communication subsystem is a complex and time-consuming process, the task of which is to select the optimal characteristics in a given range of values. Although low-level modeling is time-consuming compared to high-level, but only this process allows to get the exact characteristics of the network. Comprehensive research, which is ...
Added: February 6, 2023
Aleksandr Y. Romanov, Nikolay M. Myachin, Evgenii V. Lezhnev et al., Micromachines 2023 Vol. 14 No. 1 Article 141
This article considers the usage of circulant topologies as a promising deadlock-free topology for networks-on-chip (NoCs). A new high-level model, Newxim, for the exploration of NoCs with any topology is presented. Two methods for solving the problem of cyclic dependencies in circulant topologies, which limit their applications for NoCs due to the increased possibility of ...
Added: January 31, 2023
El-Mesady A., Romanov A., Amerikanov A. et al., Algorithms 2023 Vol. 16 No. 1 Article 10
Recent developments in commutative algebra, linear algebra, and graph theory allow us to approach various issues in several fields. Circulant graphs now have a wider range of practical uses, including as the foundation for optical networks, discrete cellular neural networks, small-world networks, models of chemical reactions, supercomputing and multiprocessor systems. Herein, we are concerned with ...
Added: January 17, 2023