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description Journal article public Journal of the Indonesian Mathematical Society

Bounds on Energy and Laplacian Energy of Graphs

Sridhara G., Rajesh Kanna
Published Жовтень 2017

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.

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