Abstract
Abstract Let S n 2 be the graph obtained by the strong prism of a star Sn, i.e. the strong product of K2 and Sn. In this paper, explicit expressions for Kirchhoff index, multiplicative degree-Kirchhoff index and number of spanning tress of S n 2 are determined, respectively. More specially, let S n , r 2 be the set of subgraphs obtained by randomly deleting r vertical edges from S n 2 , where 0 ≤ r ≤ n. Explicit formulas for Kirchhoff index and number of spanning trees for any graph S n , r 2 ∈ S n , r 2 are established, respectively. Moreover, the Kirchhoff index of S n , r 2 is almost three-eighths of its Wiener index.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
