Some topological properties of uniform subdivision of Sierpiński graphs-Reference-Cited by-同舟云学术

Some topological properties of uniform subdivision of Sierpiński graphs

Published:2021-01-01 Issue:1 Volume:44 Page:218-227
ISSN:2191-0219
Container-title:Main Group Metal Chemistry
language:en
Short-container-title:

Author:

Liu Jia-Bao¹,Siddiqui Hafiz Muhammad Afzal²,Nadeem Muhammad Faisal²,Binyamin Muhammad Ahsan³

Affiliation:

1. School of Mathematics and Physics , Anhui Jianzhu University , Hefei , China ; School of Mathematics , Southeast University , Nanjing , China

2. Department of Mathematics , COMSATS University Islamabad , Lahore Campus , Pakistan

3. Department of Mathematics , Government College University Faisalabad , Pakistan

Abstract

Abstract Sierpiński graphs are family of fractal nature graphs having applications in mathematics of Tower of Hanoi, topology, computer science, and many more diverse areas of science and technology. This family of graphs can be generated by taking certain number of copies of the same basic graph. A topological index is the number which shows some basic properties of the chemical structures. This article deals with degree based topological indices of uniform subdivision of the generalized Sierpiński graphs S(n,G) and Sierpiński gasket Sn . The closed formulae for the computation of different kinds of Zagreb indices, multiple Zagreb indices, reduced Zagreb indices, augmented Zagreb indices, Narumi-Katayama index, forgotten index, and Zagreb polynomials have been presented for the family of graphs.

Publisher

Walter de Gruyter GmbH

Subject

Materials Chemistry,Metals and Alloys,Condensed Matter Physics,General Chemistry

Link

https://www.degruyter.com/document/doi/10.1515/mgmc-2021-0006/pdf

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