Self-similar forests on fractal squares

Self-similar forests on fractal squares

(Russian, English abstract)

Drozdov D. A.
Siberian Electronic Mathematical Reports, 22, 1, pp. 385-394 (2025)

УДК 517.5  
DOI: 10.33048/semi.2025.22.025   
MSC 28A80


Abstract:

The existence of nontrivial self-similar $k$-forests is shown. For this purpose, a method for constructing self-similar forests on fractal squares is described.

Keywords: fractal square, connected component, graph, dendrit, forest