The Eccentric Connectivity Index of Some Special Graphs
نویسندگان
1 Yazd University, Iran
2 Yazd University, Iran
doi
10.22052/ijmc.2011.5169چکیده
If ܩ is a connected graph with vertex set ܸ, then the eccentric connectivity index of ܩ, ࣈሺܩሻ, is defined as Σ௩א degሺݒሻ ݁ܿܿሺݒሻ where deg ሺݒሻ is the degree of a vertex ݒ and ݁ܿܿሺݒሻ is its eccentricity. Let A, B and C are families of graphs made by joining ܲ to ܭ, made by putting ܭinstead of each vertex in ܲ and made by putting ܥ instead of each vertex in ܲ, respectively. In this paper we compute the eccentric connectivity index of these families of graphs.