Kirchhoff Index and Additive Kirchhoff Index Based on Multiplicative Degree for a Random Polyomino Chain-Reference-Cited by-同舟云学术

Kirchhoff Index and Additive Kirchhoff Index Based on Multiplicative Degree for a Random Polyomino Chain

Published:2023-03-14 Issue:3 Volume:15 Page:718
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Li Meilian¹,Asif Muhammad²³,Ali Haidar⁴^ORCID,Mahmood Fizza⁵,Ali Parvez⁶

Affiliation:

1. School of Mathematics and Information Engineering, Longyan University, Longyan 364012, China

2. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

3. Faculty of Sciences, The Superior University, Lahore 54000, Pakistan

4. Department of Mathematics, Riphah International University, Faisalabad 38000, Pakistan

5. Department of Mathematics, Government College Women University, Faisalabad 38000, Pakistan

6. Department of Mechanical Engineering, College of Engineering, Qassim University, Unaizah 56215, Saudi Arabia

Abstract

Several topological indices are known to have widespread implications in a variety of research areas. Over the years, the Kirchhoff index has turned out to be an extremely significant and efficient index. In this paper, we propose the exact formulas for the expected values of the random polyomino chain to construct the multiplicative degree-Kirchhoff index and the additive degree-Kirchhoff index. We also carefully examine the highest degree of the expected values for a random polyomino chain through the multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index.

Funder

Natural Science Foundation of Fujian Province

Youth and Middle-aged Project of Fujian Province Education Department

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/3/718/pdf

Reference19 articles.

1. Resistance distance;Klein;J. Math. Chem.,1993

2. Resistance distance and the normalized Laplacian spectrum;Chen;Discret. Appl. Math.,2007

3. Degree resistance distance of unicyclic graphs;Gutman;Trans. Comb.,2012

4. The Kirchhoff index of subdivisions of graphs;Yang;Discret. Appl. Math.,2014

5. Resistance distance-based graph invariants of subdivisions and triangulations of graphs;Yang;Discret. Appl. Math.,2015

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Kirchhoff Index and Degree Kirchhoff Index of Tetrahedrane-Derived Compounds;Symmetry;2023-05-20