An investigation of edge F-index on fuzzy graphs and application in molecular chemistry

Abstract The molecular descriptors are a useful tool in the spectral graph, chemistry and several fields of mathematics. edge F-index is proposed for fuzzy graphs (FGs) here. Bounds this index calculated FGs. FG has been investigated given set vertices as having maximum F-index. Some relations with second Zagreb hyper-Zagreb established. For an isomorphic FGs, it shown that value same. some operations determined. Also, application mathematical studied. this, 18 octane isomers 67 alkanes considered analyzed correlation between properties alkanes. From coefficient value, we have obtained highly correlated enthalpy vaporization, standard entropy, acentric factor heat vaporization less capacity isomers. critical pressure, temperature, molar refraction, volume boiling point surface tension But, inadequate to determine melting