Upper Bounds for the Energy of Graphs

Kinkar Ch Das; Seyed A. Mojallal

Upper Bounds for the Energy of Graphs

Kinkar Ch Das
, Seyed A. Mojallal

Department of Mathematics

Sungkyunkwan University

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

Abstract

The energy of a graph G, denoted by E(G), is defined as the sum of the absolute values of all eigenvalues of G. In this paper we present some new upper bounds for E(G) in terms of number of vertices, number of edges, clique number, minimum degree, and the first Zagreb index.

Original language	English
Pages (from-to)	657-662
Number of pages	6
Journal	Match
Volume	70
Issue number	2
State	Published - 2013

Cite this

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title = "Upper Bounds for the Energy of Graphs",

abstract = "The energy of a graph G, denoted by E(G), is defined as the sum of the absolute values of all eigenvalues of G. In this paper we present some new upper bounds for E(G) in terms of number of vertices, number of edges, clique number, minimum degree, and the first Zagreb index.",

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AB - The energy of a graph G, denoted by E(G), is defined as the sum of the absolute values of all eigenvalues of G. In this paper we present some new upper bounds for E(G) in terms of number of vertices, number of edges, clique number, minimum degree, and the first Zagreb index.

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Upper Bounds for the Energy of Graphs

Abstract

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