On Analysis and Computation of Degree-Based Topological Invariants for Cyclic Mesh Network

Nida Zahra,Muhammad Ibrahim,Muhammad Kamran Siddiqui,Hajar Shooshtri,Muhammad Kamran Jamil

doi:10.1155/2021/1290881

Abstract

Recently, there has been increasing attention on the system network due to its promising applications in parallel hanging architectures such as distributed computing (Day (2004), Day and Al-Ayyoub (2002)). Related networks differ in the circumstances of topology, and the descriptors were freshly examined by Hayat and Imran (2014) and Hayat et al. (2014). Distance-based descriptors, counting-related descriptors, and degree-based descriptors are all examples of topological descriptors. These topological characteristics are linked to chemical features of a substance, such as stability, strain energy, and boiling point. The specifications for the 1st Zagreb alpha, 1st Zagreb beta, 2nd Zagreb, sum-connectivity, geometric-arithmetic, Randic, harmonic, and atom-bond connectivity indices for mesh networks M N m × n based on VE and EV degree are discussed in this paper.

Highlights

Cheminformatics is a relatively new field that combines chemistry, mathematics, and information science
A complete graph is represented by numbers or an array, and for those graphs, these interpretations are supposed to be unique. e topological index is a mathematical term that belongs to a graph and is unaffected by graph automorphism
While working on paraffin breaking, Wiener’s approach [13] gave the impression of being a topological description. is identifier is known as the route number

Summary

Research Article

On Analysis and Computation of Degree-Based Topological Invariants for Cyclic Mesh Network. There has been increasing attention on the system network due to its promising applications in parallel hanging architectures such as distributed computing (Day (2004), Day and Al-Ayyoub (2002)). Related networks differ in the circumstances of topology, and the descriptors were freshly examined by Hayat and Imran (2014) and Hayat et al (2014). Distancebased descriptors, counting-related descriptors, and degree-based descriptors are all examples of topological descriptors. Ese topological characteristics are linked to chemical features of a substance, such as stability, strain energy, and boiling point. E specifications for the 1st Zagreb alpha, 1st Zagreb beta, 2nd Zagreb, sum-connectivity, geometric-arithmetic, Randic, harmonic, and atom-bond connectivity indices for mesh networks (MNm×n) based on VE and EV degree are discussed in this paper Distancebased descriptors, counting-related descriptors, and degree-based descriptors are all examples of topological descriptors. ese topological characteristics are linked to chemical features of a substance, such as stability, strain energy, and boiling point. e specifications for the 1st Zagreb alpha, 1st Zagreb beta, 2nd Zagreb, sum-connectivity, geometric-arithmetic, Randic, harmonic, and atom-bond connectivity indices for mesh networks (MNm×n) based on VE and EV degree are discussed in this paper

Introduction

VE degrees

Conclusion