Browsing by Author "Helen Tizazu"

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    On the General Eccentric Connectivity Coindex of Graphs
    (Addis Ababa University, 2024-08) Helen Tizazu; Mesfin Masre
    In this thesis, we introduce the general eccentric connectivity coindex, ECCIa of connected graphs. For a connected graph G order n, we define the general eccentric connectivity coindex as ECCIa(G) = Σ v∈V(G) ecca G[n−1−dG(v)] for a ∈ R, where E(G) is the edge set of graph G , dG(v) is the degree of vertex v and V(G) is the vertex set of graph G. We study, the general eccentric connectivity coindex of tree graphs of a given graph parameters. We determine trees with the maximum and minimum general eccentric connectivity coindex among all trees of a given graph parameters for a > 1.