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- Title
New Bounds for the Harmonic Energy and Harmonic Estrada index of Graphs.
- Authors
Jahanbani, Akbar
- Abstract
Let G be a finite simple undirected graph with n vertices and m edges. The Harmonic energy of a graph G, denoted by HE(G), is defined as the sum of the absolute values of all Harmonic eigenvalues of G. The Harmonic Estrada index of a graph G, denoted by HEE(G), is defined as HEE = HEE(G) = Pn i=1 ei, where Y1 ≥ Y2 ≥···≥Yn are the H-eigenvalues of G. In this paper we present some new bounds for HE(G) and HEE(G) in terms of number of vertices, number of edges and the sum-connectivity index.
- Publication
Computer Science Journal of Moldova, 2018, Vol 26, Issue 3, p270
- ISSN
1561-4042
- Publication type
Academic Journal