Topological indices for the iterations of Sierpiński rhombus and Koch snowflake
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632014, Vellore, India
Accepted: 30 October 2021
Published online: 9 November 2021
In fractal geometry, the study of Sierpiński rhombus and Koch snowflake is one of the important and interesting research topics. Sierpiński rhombus is a planar fractal which is created using a related sequence of graphs named , where is the Sierpinski graph. Same as Sierpiński, Koch snowflake is also created using a sequence of graphs named , where is the Koch snowflake graph. We can efficiently analyze their fractal structures by studying the topological indices for the graphs and . In this paper, the topological indices for and are calculated and compared with the fractal dimension for a sequence of graphs.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2021