On Some Bounds of Multiplicative K Banhatti Indices for Polycyclic Random Chains

A chemical graph is a graphical representation of the molecular structure of a chemical compound, showing the atoms of the compound and the bonds between them. Chemical graphs are used in many areas of chemistry, including organic chemistry, biochemistry, and materials science. The basic idea of this paper is to compute the expected results of multiplicative K Banhatti and multiplicative hyper K Banhatti indices of this category of organic compounds. The average value of the multiplicative K Banhatti and multiplicative hyper K Banhatti indices for the set of random poly-phenylene chains have been calculated. Moreover, we presented the comparison between the expected results of multiplicative K Banhatti and multiplicative hyper K Banhatti indices for polyphenyl and spiro chain, have been resolved.