- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 2
- Computation of Zagreb indices and Zagreb polynomials of Sierpinski graphs
Computation of Zagreb indices and Zagreb polynomials of Sierpinski graphs
Authors : Hafiz Muhammad Afzal Siddiqui
Pages : 754-765
Doi:10.15672/hujms.623990
View : 10 | Download : 6
Publication Date : 2020-04-02
Article Type : Research
Abstract :The Sierpinski fractal or Sierpinski gasket and generalized Sierpinski graphs are objects of great interest in dynamical systems and probability. In this paper, we consider the Sierpinski gasket graph $S_{n}$, the generalized Sierpinski graphs $S(n,C_{3})$ and $S(n,C_{4})$. We provide explicit computing formulae for Zagreb indices, multiple Zagreb indices and Zagreb polynomials of Sierpinski graphs.Keywords : Sierpinski gasket graph, generalized Sierpinski graph, topological indices, Zagreb index, augmented Zagreb index, Zagreb polynomials