Zagreb eccentricity indices of the generalized hierarchical product graphs and their applications

Let g be a connected graph. the first and second zagreb eccentricity indices of g are defined as m1* (g) = v∈v (g) εg/2 (v) and m2* (g) =uv∈e (g) εg (u) εg (v),where ε g (v) is the eccentricity of the vertex v in g and ε g2 (v) = (εg (v)) 2. suppose that g (u) π h (∅≠u ⊆ v (g)) is the generalized hierarchical product of two connected graphs g and h. in this paper,the zagreb eccentricity indices m 1* and m2* of g (u) π h are computed. moreover,we present explicit formulas for the m 1* and m2* of s-sum graph,cartesian,cluster,and corona product graphs by means of some invariants of the factors. © 2014 zhaoyang luo and jianliang wu.