Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Improve Some of Bounds for the Randic Estrada Index of Graphs

Akbar Jahanbani
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Version 1 : Received: 31 December 2020 / Approved: 31 December 2020 / Online: 31 December 2020 (14:22:21 CET)

How to cite: Jahanbani, A. Improve Some of Bounds for the Randic Estrada Index of Graphs. Preprints 2020, 2020120818. https://doi.org/10.20944/preprints202012.0818.v1 Jahanbani, A. Improve Some of Bounds for the Randic Estrada Index of Graphs. Preprints 2020, 2020120818. https://doi.org/10.20944/preprints202012.0818.v1

Abstract

Let G be a graph with n vertices and let 1; 2; : : : ; n be the eigenvalues of Randic matrix. The Randic Estrada index of G is REE(G) = Ón i=1 ei . In this paper, we establish lower and upper bounds for Randic index in terms of graph invariants such as the number of vertices and eigenvalues of graphs and improve some previously published lower bounds.

Keywords

Eigenvalue of graph; Estrada index; Randic Estrada index; Bounds

Subject

Environmental and Earth Sciences, Atmospheric Science and Meteorology

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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