A topological index is a numerical data which significantly correlates with the fundamental topology of a given chemical structure. The M-polynomial is a key mathematical tool to determine the degree-dependent topological indices. Very recently, the geometric-quadratic (GQ) and quadratic-geometric (QG) indices of a graph are introduced and computed their values by their respective mathematical formulas on some standard graphs and jagged-rectangle benzenoid system. In this research work, we propose M-polynomial based closed derivation formulas for determining the above two indices. In addition, we derive the GQ and QG indices for each of the abovementioned graphs by applying the derivation formulas, and also produce some fundamental relationships between the indices.
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Das, S., & Kumar, V. (2022). Investigation of Closed Derivation Formulas for GQ and QG Indices of a Graph via M-polynomial. Iranian Journal of Mathematical Chemistry, 13(2), 129-144. doi: 10.22052/ijmc.2022.246172.1614
MLA
Shibsankar Das; Virendra Kumar. "Investigation of Closed Derivation Formulas for GQ and QG Indices of a Graph via M-polynomial". Iranian Journal of Mathematical Chemistry, 13, 2, 2022, 129-144. doi: 10.22052/ijmc.2022.246172.1614
HARVARD
Das, S., Kumar, V. (2022). 'Investigation of Closed Derivation Formulas for GQ and QG Indices of a Graph via M-polynomial', Iranian Journal of Mathematical Chemistry, 13(2), pp. 129-144. doi: 10.22052/ijmc.2022.246172.1614
VANCOUVER
Das, S., Kumar, V. Investigation of Closed Derivation Formulas for GQ and QG Indices of a Graph via M-polynomial. Iranian Journal of Mathematical Chemistry, 2022; 13(2): 129-144. doi: 10.22052/ijmc.2022.246172.1614