ON VARIABLE SUM EXDEG ENERGY OF GRAPHS.

In this paper, we put forward the idea of variable sum exdeg energy of graphs. We study the algebraic properties of variable sum exdeg energy. Some properties related to spectral radius of variable sum exdeg matrix are determined. We determine some Nordhaus-Gaddum-type results for variable sum exdeg spectral radius and energy. Some classes of variable sum exdeg equienergetic graphs are also determined. [ABSTRACT FROM AUTHOR]