Hyper- and reverse-Wiener indices of F-sums of graphs Original Research Article

The Wiener index image, the hyper-Wiener index image and the reverse-Wiener index image, where image is the distance of two vertices image in image, image, image and image is the diameter of image. In [M. Eliasi, B. Taeri, Four new sums of graphs and their Wiener indices, Discrete Appl. Math. 157 (2009) 794–803], Eliasi and Taeri introduced the F-sums of two connected graphs. In this paper, we determine the hyper- and reverse-Wiener indices of the F-sum graphs and, subject to some condition, we present some exact expressions of the reverse-Wiener indices of the F-sum graphs.