University of KashanIranian Journal of Mathematical Chemistry2228-64894220130501Wiener Index of Graphs in Terms of Eccentricities239248529910.22052/ijmc.2013.5299ENH. S.RAMANEKarnatak University, IndiaA. B.GANAGIGogte Institute of Technology, IndiaH. B.WALIKARKarnatak University, IndiaJournal Article20140504The Wiener index W(G) of a connected graph G is defined as the sum of the distances between all unordered pairs of vertices of G. The eccentricity of a vertex v in G is the distance to a vertex farthest from v. In this paper we obtain the Wiener index of a graph in terms of eccentricities. Further we extend these results to the self-centered graphs.http://ijmc.kashanu.ac.ir/article_5299_e4714d9416dc74cc8611ae33bf9e475e.pdf