Bounds on Energy and Laplacian Energy of Graphs

Sridhara G (Post Graduate Department of Mathematics, Maharanis Science College for Women, Mysore 570005, Karnataka, India./)
Rajesh Kanna (Post Graduate Department of Mathematics, Maharanis Science College for Women, Mysore 570005, Karnataka, India./)

Journal of the Indonesian Mathematical Society
Volume 23 Number 2 (October 2017)

Let G be simple graph with n vertices and m edges. The energy E(G) of G, denotedby E(G), is dened to be the sum of the absolute values of the eigenvalues of G. Inthis paper, we present two new upper bounds for energy of a graph, one in terms ofm,n and another in terms of largest absolute eigenvalue and the smallest absoluteeigenvalue. The paper also contains upper bounds for Laplacian energy of graph.