On Closed Derivation Formulas over the M-polynomial for the Elliptic-Type Indices of a Graph
نویسندگان
1 Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India
2 Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India
doi
10.22052/ijmc.2025.256243.1970چکیده
A polynomial function that provides information about the molecular structure of a graph is known as the M-polynomial of a graph. This polynomial helps us to understand the characteristics of chemical compounds and their relationships. Very recently, in 2024, the elliptic Sombor~(\textit{ESO}), reduced elliptic~(\textit{RE}) and modified reduced elliptic~($^{m}\textit{RE}$) indices of a graph were proposed and their values were calculated for some standard graphs, jagged-rectangle benzenoid systems and polycyclic aromatic hydrocarbons. In this work, we establish closed derivation formulas for the above-mentioned elliptic-type indices of a graph based on its M-polynomial. Moreover, we enumerate the elliptic-type indices of the above family of chemical graphs.
