Mathematical model and algorithm for calculating the cycles of the cells of the graph map
Numerical methods and programming, Tome 22 (2021) no. 4, pp. 294-305
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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.
Keywords:
graph map, map cells, graph cycles, cycle properties.
@article{VMP_2021_22_4_a4,
author = {B. N. Ivanov},
title = {Mathematical model and algorithm for calculating the cycles of the cells of the graph map},
journal = {Numerical methods and programming},
pages = {294--305},
year = {2021},
volume = {22},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2021_22_4_a4/}
}
B. N. Ivanov. Mathematical model and algorithm for calculating the cycles of the cells of the graph map. Numerical methods and programming, Tome 22 (2021) no. 4, pp. 294-305. http://geodesic.mathdoc.fr/item/VMP_2021_22_4_a4/