title: Distance-based topological polynomials and indices of friendship graphs.
abstract: Drugs and chemical compounds are often modeled as graphs in which the each vertex of the graph expresses an atom of molecule and covalent bounds between atoms are represented by the edges between their corresponding vertices. The topological indicators defined over this molecular graph have been shown to be strongly correlated to various chemical properties of the compounds. In this article, by means of graph structure analysis, we determine several distance based topological indices of friendship graph [Formula: see text] which is widely appeared in various classes of new nanomaterials, drugs and chemical compounds.
authors.affiliation: School of Information Science and Technology, Yunnan Normal University, Kunming, 650500 China.
authors.forename: Wei
authors.initials: W
authors.lastname: Gao
authors.affiliation: Department of Applied Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16844 Iran.
authors.forename: Mohammad Reza
authors.initials: MR
authors.lastname: Farahani
authors.affiliation: School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad, P.O. 44000, Pakistan ; Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, Al Ain, United Arab Emirates.
authors.forename: Muhammad
authors.initials: M
authors.lastname: Imran
authors.affiliation: Post Graduate Department of Mathematics, Maharani's Science College for Women, Mysore, 570005 India.
authors.forename: M R
authors.initials: MR
authors.lastname: Rajesh Kanna
keywords: Friendship graph; Hosoya polynomial; Hyper-Wiener index; Schultz index; Schultz polynomial; Wiener index