Topological Indices on Fractal Patterns

Sierpinski and Koch Snowflake are the two most studied topics in fractal geometry. Sierpinski Rhombus \((SR_n)\) is formed by a pattern of n sequences of a graph that results in a planar fractal. Koch Snowflake \((KS_n)\) is also formed by some patterns similar to the Sierpinski Rhombus. In this study, topological indices are used to study fractal structures. This chapter is the first to derive a closely related formula of M-polynomials and entropy measures for the fractal structures \((SR_n)\) and \((KS_n)\) . The calculated topological value is usually correlated with the physical properties of the structure. The scope of this work is to relate the derivation of topological indices with the fractal dimension for the graph sequences \((SR_n)\) and \((KS_n)\) .