Drozdov, D. A., & Tetenov, A. V. (2024). On the dendrite property of fractal cubes. Advances in the Theory of Nonlinear Analysis and Its Application, 8(1), 73–80.
- ISSN: 2587-2648
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D. A. Drozdov, A. V. Tetenov
Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia.
The paper considers the fractal cubes and presents all the data according to which it is possible to recognize whether a given fractal cube is a dendrite. The method of detecting the dendrite property for a fractal cube is based on finding the bipartite intersection graph for the fractal cube.
Keywords: fractal cube, dendrite, self-similar set, single intersection property, intersection graph.
Drozdov, D. A., & Tetenov, A. V. (2024). On the dendrite property of fractal cubes. Advances in the Theory of Nonlinear Analysis and Its Application, 8(1), 73–80.