29Some Results on Degree Sum Energy of a Graph

Mitesh J. Patel

Tolani College of Arts and Science,Adipur- Kachchh,Gujarat (INDIA)E-mail: miteshmaths1984@gmail.com

G. V. Ghodasara

H. & H. B. Kotak Institute of Science,Rajkot, Gujarat (INDIA)E-mail: gaurang_enjoy@yahoo.co.in

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 Kn, wheel graph Wn, star graph K1,n and Petersen graph P(5,2).

29.1Introduction

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

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