拉普拉斯类能不变量的界注

IF 1 Q4 CHEMISTRY, MULTIDISCIPLINARY Iranian journal of mathematical chemistry Pub Date : 2018-06-01 DOI:10.22052/IJMC.2018.98655.1313

M. Faghani, E. Pourhadi

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摘要

简单连通图G的拉普拉斯类能定义为LEL:=LEL(G)=∑_(i=1)^n√(μ_i)，其中μ_1 (G)≥μ_2 (G)≥⋯≥μ_n (G)=0是图G的拉普拉斯特征值。本文给出了LEL的一些上界和下界。此外，本文还利用ΔG项作为图中三角形的个数，得到了图的谱半径下界的一些结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A note on the bounds of Laplacian-energy-like-invariant

The Laplacian-energy-like of a simple connected graph G is defined as LEL:=LEL(G)=∑_(i=1)^n√(μ_i ), Where μ_1 (G)≥μ_2 (G)≥⋯≥μ_n (G)=0 are the Laplacian eigenvalues of the graph G. Some upper and lower bounds for LEL are presented in this note. Moreover, throughout this work, some results related to lower bound of spectral radius of graph are obtained using the term of ΔG as the number of triangles in graph.

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