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Submitted
September 26, 2016
Accepted
March 26, 2017
Published
December 24, 2017
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Abstract

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.

Keywords

Adjacency matrix Laplacian matrix Energy of graph Laplacian energy of graph.

Article Details

Author Biographies

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

Asst.Professor,

Post Graduate Department of Mathematics,

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

Asst.Professor,

Post Graduate Department of Mathematics,

How to Cite
G, S., & Kanna, R. (2017). Bounds on Energy and Laplacian Energy of Graphs. Journal of the Indonesian Mathematical Society, 23(2), 21–31. https://doi.org/10.22342/jims.23.2.316.21-31
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