New Bounds for the Harmonic Energy and Harmonic Estrada index of Graphs
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519.17 (68)
Analiză combinatorică. Teoria grafurilor (115)
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JAHANBANI, Akbar. New Bounds for the Harmonic Energy and Harmonic Estrada index of Graphs. In: Computer Science Journal of Moldova, 2018, nr. 3(78), pp. 270-300. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 3(78) / 2018 / ISSN 1561-4042 /ISSNe 2587-4330

New Bounds for the Harmonic Energy and Harmonic Estrada index of Graphs

CZU: 519.17

Pag. 270-300

Jahanbani Akbar
 
Department of Mathematics, Shahrood University of Technology
 
 
Disponibil în IBN: 1 decembrie 2018


Rezumat

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 1 > 2 > · · · > n 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.  

Cuvinte-cheie
Eigenvalue of graph, sum-connectivity index, Harmonic energy, Harmonic Estrada index., energy