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arXiv · 1506.05762

Remarks on Bounds of Normalized Laplacian Eigenvalues of Graphs

Emina I. Milovanovic·Igor Z. Milovanovic
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Abstract

Let $G$ be a connected undirected graph with $n$, $n\ge 3$, vertices and $m$ edges. Denote by $\rho_1 \ge \rho_2 \ge \cdots > \rho_n =0$ the normalized Laplacian eigenvalues of $G$. Upper and lower bounds of $\rho_i$, $i=1,2,\ldots , n-1$, are determined in terms of $n$ and general Randi\' c index, $R_{-1}$.

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Emina I. Milovanovic, Igor Z. Milovanovic. 2015-06-18. Remarks on Bounds of Normalized Laplacian Eigenvalues of Graphs. https://arxiv.org/abs/1506.05762

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