Recent Advancements in Graph Theory

29Some Results on Degree Sum Energy of a Graph

Mitesh J. Patel

Tolani College of Arts and Science,Adipur- Kachchh,Gujarat (INDIA)E-mail: [e-mail]

G. V. Ghodasara

H. & H. B. Kotak Institute of Science,Rajkot, Gujarat (INDIA)E-mail: [e-mail]

Let G = (V, E) be a graph with order n and size m. The ordinary energy of the graph is defined as the sum of the absolute values of the eigenvalues of its adjacency matrix. In chemistry, the energy of a graph is used to approximate the total π −electron energy of a molecule. In this chapter we evaluate the degree sum energy of complete graph K_n, wheel graph W_n, star graph K_1,n and Petersen graph P(5,2).

29.1Introduction

Let G be a simple graph with vertex set V (G) = { ...