ENERGY OF COMBINATORIAL MATRICES OF GRAPHS

Abstract

Let G= (V, E) be a simple connected graph. In this paper, we have evaluated the energies of combinatorial matrices.  We have two types of path defined matrices that is distance path and detour path the elements of these matrices are found combinatorially from the traditional distance and detour matrices. Here, we have calculated energies of standard graphs for both distance path and detour path matrices. Upper and lower bounds for these combinatorial matrices are also determined.