Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Improve Some of Bounds for the Randic Estrada Index of Graphs

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 (doi: 10.20944/preprints202012.0818.v1). Jahanbani, A. Improve Some of Bounds for the Randic Estrada Index of Graphs. Preprints 2020, 2020120818 (doi: 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.

Subject Areas

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

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