Eccentric connectivity index of bridge graphs
M. MOGHARRAB1,*
Affiliation
- Department of Mathematics, Persian Gulf University, Bushehr75169, Iran
Abstract
The eccentric connectivity index ) (G ξ of the graph ) , ( E V G G = is defined as Σ∈
=
u V
ξ (G) degG (u)ε (u) where degG (u)
denotes the degree of vertex u in the graph G and ε (u) is the largest distance between u and any other vertex v of G. In
this paper, we calculate the eccentric connectivity index of bridge graph of the given graphs and distinguished vertices of
them..
Keywords
Eccentric connectivity index, Bridge graph.
Citation
M. MOGHARRAB, Eccentric connectivity index of bridge graphs, Optoelectronics and Advanced Materials - Rapid Communications, 4, 11, November 2010, pp.1866-1867 (2010).
Submitted at: Sept. 28, 2010
Accepted at: Nov. 10, 2010