Some properties of q-distance energy

Abstract

Graphs are nowadays frequently used in modelling. Especially the sub area of graph theory called the molecular graph theory deals with physicochemical properties of chemical substances by means of mathematical methods. Three main methods to study graphs mathematically are to make use of the vertex degrees, distances and matrices. The classical graph energy was defined 1978 by I. Gutman and has a large number of applications in chemistry and physics. In this paper, a recently defined new type of energy called (q-distance energy by means of distances and matrices is studied and q-distance energies of star graph, complete graph, crown graph, cocktail party graph, complete bipartite graph, windmill graph are computed.