Sharp Bounds of Kulli–Basava Indices in Generalized Form for k-Generalized Quasi Trees

Molecular descriptors are a basic tool in the spectral graph, molecular chemistry, and various other fields of mathematics chemistry. Kulli–Basava K mathvariant="fraktur">B indices were initiated for chemical applications substances For simple graph id="M2"> G , id="M3"> generalized forms id="M4"> 1 mathvariant="normal">ϱ = ∑ g h ∈ E mathvariant="double-struck">S e + id="M5"> 2 . where id="M6"> N d edge id="M7"> open="{" close="}" , degree is id="M8"> − id="M9"> ≠ 0 any real number. The id="M10"> said to be id="M11"> k mathvariant="normal">g mathvariant="normal">e mathvariant="normal">n mathvariant="normal">r mathvariant="normal">a mathvariant="normal">l mathvariant="normal">i mathvariant="normal">z mathvariant="normal">d quasi tree if vertex set id="M12"> U ⊂ having id="M13"> open="|" close="|" id="M14"> id="M15"> V id="M16"> id="M17"> not tree. In this research work, we have successfully investigated sharp bounds id="M18"> k-generalized trees id="M19"> ≥ . Chemical form also studied alkane isomers with scatter diagrams residuals.