On the ψk-polynomial of graph

Alsinai, Ammar; Alwardi, Anwar; Farahani, Mohammad Reza; Soner, Nandappa D.

doi:10.22034/ecc.2021.274069.1138

Document Type : Original Research Article

Authors

¹ Department of Studies in Mathematics University of Mysore, Manasagangotri Mysuru-570 006, India

² Department of Mathematics, University of Aden, Yemen

³ Department of Applied Mathematics, Iran University of Science and Technology (IUST), Narmak, Tehran 16846, Iran

https://doi.org/10.22034/ecc.2021.274069.1138

Abstract

In this paper, for every k-degree distance we define ψ_k-Polynomial of a connected graph G=(V,E) as where ψ_k(i,j) is the number of edges uv in G such that {d_k(v), d_k(u)}={i,j} and d_k(v), d_k(u) are the k^th degree distance of v and u, and δ_k, ∆_k are the minimum and maximum k^th distance degrees respectively. We compute the ψ2-Polynomial of some standard graphs and some graph operations. Also ψ2-Polynomial for honeycomb network and Graphene are obtained with their plotting in 3D.

Graphical Abstract

Keywords

Main Subjects

Methematical Chemistry

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Eurasian Chemical Communications

On the ψk-polynomial of graph

References

References

Volume 3, Issue 4
April 2021
Pages 219-226

On the ψk-polynomial of graph

References

References

Volume 3, Issue 4April 2021Pages 219-226

Volume 3, Issue 4
April 2021
Pages 219-226