Computation of Zagreb indices and Zagreb polynomials of Sierpinski graphs

Authors : Hafiz Muhammad Afzal SİDDİQUİ

Pages : 754-765

Doi:10.15672/hujms.623990

View : 14 | Download : 6

Publication Date : 2020-04-02

Article Type : Research Paper

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 $Sinsert ignore into journalissuearticles values(n,C_{3});$ and $Sinsert ignore into journalissuearticles values(n,C_{4});$. 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