Abstract
Abstract Topological descriptors are the graph invariants that are used to explore the molecular topology of the molecular/chemical graphs. In QSAR/QSPR research, physico-chemical characteristics and topological invariants including Randić, atom-bond connectivity, and geometric arithmetic invariants are utilized to corelate and estimate the structure relationship and bioactivity of certain chemical compounds. Graph theory and discrete mathematics have discovered an impressive utilization in the area of research. In this article, we investigate the valency-depended invariants for certain chemical networks like generalized Aztec diamonds and tetrahedral diamond lattice. Moreover, the exact values of invariants for these categories of chemical networks are derived.
Highlights
There are many diverse applications of mathematics in electronic and electrical engineering
It is important to know that a theoretical chemist Wiener (1947) gave the idea of topological indices when he was investigating the characteristics of boiling point of paraffin
Some degree depended invariants namely ABC, GA, ABC4, GA5, NM1, and NM2 indices are computed for the networks constructed from generalized Aztec diamonds and tetrahedral diamond lattices
Summary
There are many diverse applications of mathematics in electronic and electrical engineering. We derive the certain degree related molecular topological invariants for chemical networks like generalized Aztec diamonds, tetrahedral diamond lattice, and certain infinite classes of nanostar dendrimers. The ABC index for generalized Aztec diamond graphs has been computed. The ABC index of generalized Aztec diamond graph
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