Minimum Transversal Eccentric Dominating Energy of Graphs

Abstract

For a graph G, the minimum transversal eccentric dominating energy \(\mathbb{E}\)\(\mathit{ted}\) (G) is the sum of the eigenvalues obtained from the minimum transversal eccentric dominating \(\mathit{n}\) x \(\mathit{n}\) matrix \(\mathbb{M}\)\(\mathit{ted}\) (G) = (\(\mathit{m}\)\(\mathit{ij}\)). In this paper \(\mathbb{E}\)\(\mathit{ted}\) (G) of some standard graphs are computed. Properties, upper and lower bounds for \(\mathbb{E}\)\(\mathit{ted}\) (G) are established.