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The International N5 Symposium ‘Neural Networks and Nonlinearity in Nizhny Novgorod’ was held at the Nizhny Novgorod House of Scientists from September 23 to 26. The event was organised by HSE University–Nizhny Novgorod and the Nizhny Novgorod House of Scientists, with the participation of Sberbank and the Institute of Physics Belgrade. The symposium was held for the second time: the first conference took place in 2025 and attracted considerable interest from the academic community.
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The Problem of a Symmetric Graph with a Maximum Number of Vertices and Minimum Diameter

Lobachevskii Journal of Mathematics. 2023. Vol. 44. No. 12. P. 5453–5459.
A. M. Sukhov, A. Y. Romanov, A. A. Amerikanov

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; 1,  2D+1) , D  – diameter. This graph is invariant under transforming its arbitrary vertex into any other, and its vertices are located densely in the vicinity of the root vertex, which determines its compliance with the diameter optimality criterion. All statements formulated during the solution of the problem are proven.

Research target: Computer Science Mathematics Electronics and Electrical Engineering
Language: English
Full text
DOI
Keywords: computing clusternetwork-on-chipcirculant topologymulti-processor system-on-chip
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