Vertex-Edge Degree Based Indices of Honey Comb Derived Network

Abstract

Chemical graph theory is a branch of mathematics which combines graph theory and chemistry. Chemical reaction network theory is a territory of applied mathematics that endeavors to display the conduct of genuine compound frameworks. It pulled the research community due to its applications in theoretical and organic chemistry since 1960. Additionally, it also increases the interest the mathematicians due to the interesting mathematical structures and problems are involved. The structure of an interconnection network can be represented by a graph. In the network, vertices represent the processor nodes and edges represent the links between the processor nodes. Graph invariants play a vital feature in graph theory and distinguish the structural properties of graphs and networks. In this paper, we determined the newly introduced topological indices namely, first ve-degree Zagreb index, first ve-degree Zagreb index, second ve-degree Zagreb index, ve-degree Randic index, ve-degree atom-bond connectivity index, ve-degree geometric-arithmetic index, ve-degree harmonic index and ve-degree sum-connectivity index for honey comb derived network. In the analysis of the quantitative structure property relationships (QSPRs) and the quantitative structureactivity relationships (QSARs), graph invariants are important tools to approximate and predicate the properties of the biological and chemical compounds. Also, we give the numerical and graphical representation of our outcomes.

Advancing Computational Insights: Domination Topological Indices of Polysaccharides Using Special Polynomials and QSPR Analysis

“…In the realm of science, algebraic polynomials [19], such as the Omega polynomial [20,21], Padmakar-Ivan (PI) [22], Zhang-Zhang [23], matching [24][25][26], Tutte [27], Schultz [28], and notably Hosoya polynomials [29], serve as pivotal tools for deriving various topological indices. These polynomials, especially those based on distance, like the Wiener [30] and hyper-Wiener index [31], offer insights into molecular structures.…”