The anti-adjacency matrix of a graph: Eccentricity matrix

Eccentricity energy of bistar graph and some of its related graphs

“…Let D (G) = (d uv ) be the distance matrix of G, where d uv = d G (u, v). In [11] Wang defined the eccentricity of matrix ε (G) from distance matrix as D(G) as:…”

Maximum eccentricity energy of globe graph, bistar graph and some graph related to bistar graph

“…Similar energies got from the eigenvalues of various graphs are considered in recent times. Several other authors also investigated energy of graph [1,2,7,10,11,13].…”

A new concept of energy from eccentricity matrix of graphs

“…For more details see [1], [2] and the reference cited there in. Irreducibility of the polynomial of eccentricity-matrix of a tree is spoken by JianfengWang [5] and energy of a graph is spoken in Gutman [4]. I combined these two concepts and put forth the concept of eccentricity energy of graphs.…”