Vol. 3, Issue 12, Part D (2017)
On eccentric connectivity index of certain graphs
On eccentric connectivity index of certain graphs
Author(s)
Dr. B Tamilselvi and S Megala
AbstractLet G be a Connected graph, then the eccentric connectivity index of G is defined as ξ^c (G)=∑▒〖degâ¡(v).ecc(v)〗, where deg(v) and ecc(v) denotes the vertex degree and eccentricity respectively.
In this paper, the explicit formula for the values of the eccentric connectivity index for cycle graph have been presented. Next, the eccentric connectivity index of subdivision, subdivision-related graph of Line graph for cycle graph have been calculated.
How to cite this article:
Dr. B Tamilselvi, S Megala. On eccentric connectivity index of certain graphs. Int J Appl Res 2017;3(12):214-217.