Mathematical model and algorithm for calculating the cycles of the cells of the graph map




graph map, map cells, graph cycles, cycle properties


The selected properties of the cycles of the DFS-basis block of a simple graph map allowed us to create a mathematical model for calculating the cycles of the cells of the graph map. According to this model, a practical algorithm for calculating the cycles of the graph map cells is proposed. The algorithm has a quadratic complexity relative to the number of vertices in the graph.

Author Biography

Boris N. Ivanov


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How to Cite

Иванов Б.Н. Mathematical Model and Algorithm for Calculating the Cycles of the Cells of the Graph Map // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2021. 22. 294-305. doi 10.26089/NumMet.v22r419



Methods and algorithms of computational mathematics and their applications