2022/12/08 by Lal, Sohan, Sharma, Karnika, Bhat, Vijay Kumar
#05C10 #05C12 #05C90 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2212.04200
Topological indices are graph invariants numeric quantities, which are utilized by researchers to analyze a variety of physiochemical aspects of molecules. The goal of developing topological indices is to give each chemical structure a numerical value while maintaining the highest level of differentiation. Using these indices, the classification of various structures, and their physiochemical and biological properties can be predicted. In this paper, the leap and leap hyper Zagreb indices, as well as their polynomials for a zigzag benzenoid system Zp and a rhombic benzenoid system Rp are determined. In addition, new k-distance degree-based topological indices such as leap-Somber index, hyper leap forgotten index, leap Y index, and leap Y coindex are also computed for the molecular graphs of Zp and Rp. Furthermore, their numerical computation and discussion are performed to determine the significance of their physiochemical properties.