On Ve-Degree and Ev-Degree Based Topological Invariants of Chemical Structures

Abstract

In the realm of graph theory, recent developments have introduced novel concepts, notably the νε-degree and εν-degree, offering expedited computations compared to traditional degree-based topological indices (TIs). These TIs serve as indispensable molecular descriptors for assessing chemical compound characteristics. This manuscript aims to meticulously compute a spectrum of TIs for silicon carbide SiC4-I[r, s], with a specific focus on the εν-degree Zagreb index, the νε-degree Geometric-Arithmetic index, the εν-degree Randić index, the νε-degree Atom-bond connectivity index, the νε-degree Harmonic index, and the νε-degree Sum connectivity index. This study contributes to the ongoing advancement of graph theory applications in chemical compound analysis, elucidating the nuanced structural properties inherent in silicon carbide molecules. © 2024 Utilitas Mathematica Publishing Inc.. All rights reserved.