Study for Some Eccentricity-based Topological Indices of Second Type of Dominating David-derived Network

• Published in: Combinatorial chemistry & high throughput screening Vol. 27; no. 5; p. 666
• Main Authors: Liu, Jia-Bao, Ali, Haidar, Ali, Didar Abdulkhaleq, Umer, Ayesha, Ali, Parvez, Kirmani, Syed Ajaz K
• Format: Journal Article
• Language: English
• Published: United Arab Emirates 01.01.2024
• Subjects: Algorithms; Fractals; Molecular Structure; Thermodynamics; david-derived network; total eccentricity ℘(G); average eccentricity avec (G); Second type of dominating David-derived network D2(m); eccentricity-based topological indices; zagreb eccentricity index R(G); eccentricity γ (G)
• ISSN: 1875-5402
• DOI: 10.2174/1386207326666230831125646

Dominating David-derived networks are widely studied due to their fractal nature, with applications in topology, chemistry, and computer sciences. The use of molecular structure descriptors is a standard procedure that is used to correlate the biological activity of molecules with their chemical structures, which can be useful in the field of pharmacology. This article's goal is to develop analytically closed computing formulas for eccentricitybased descriptors of the second type of dominating David-derived network. Thermodynamic characteristics, physicochemical properties, and chemical and biological activities of chemical graphs are just a few of the many properties that may be determined using these computation formulas. Vertex sets were initially divided according to their degrees, eccentricities, and cardinalities of occurrence. The eccentricity-based indices are then computed using some combinatorics and these partitions. Total eccentricity, average eccentricity, and the Zagreb index are distance-based topological indices utilized in this study for the second type of dominating David-derived network, denoted as D2(m). These calculations will assist the readers in estimating the fractal and difficult-tohandle thermodynamic and physicochemical aspects of chemical structure. Apart from configuration and impact resistance, the D2(m) design has been used for fundamental reasons in a variety of technical and scientific advancements.