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math.CO2024
Algorithmic methods of finite discrete structures. Topological graph drawing (part II)
Sergey Kurapov, Maxim Davidovsky
A visualized graph is a powerful tool for data analysis and synthesis tasks. In this case, the task of visualization constitutes not only in displaying vertices and edges according…
math.CO2024
Algorithmic methods of finite discrete structures. Topological graph drawing (part I)
Sergey Kurapov, Maxim Davidovsky
Modern methods of graph theory describe a graph up to isomorphism, which makes it difficult to create mathematical models for visualizing graph drawings on a plane. The topological…
math.CO2024
Algorithmic methods of finite discrete structures. Isomorphism of Nonseparable Graphs
Sergey Kurapov, Maxim Davidovsky
In this monography, it is proposed to consider the concepts of spectra of edge cuts and edge cycles of a graph as a basic mathematical structure for solving the problem of graph is…