Author/Authors :
RAMANE، H. S. نويسنده Department of Mathematics, Karnatak University, Dharwad ? 580003, India , , GANAGI، A. B. نويسنده Department of Mathematics, Gogte Institute of Technology, Udyambag, Belgaum? 590008, India , , WALIKAR، H. B. نويسنده Department of Computer Science, Karnatak University, Dharwad ? 580003, India ,
Abstract :
The 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.
