图的乘积与特征值的Nordhaus-Gaddum型不等式

IF 0.6 Q3 MATHEMATICS Transactions on Combinatorics Pub Date : 2018-03-01 DOI:10.22108/TOC.2017.21474

Nastaran Keyvan, F. Rahmati

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摘要

在本文中，我们得到了G=KαnõK（1-α）n的α作为系数，并由此讨论了Nordhaus-Gaddum型不等式中λ1的Nikiforov猜想和q1的Aouuche和Hansen猜想。此外，利用图的乘积的性质，我们提出了一种新的方法来寻找Nordhaus-Gaddum型不等式的一些界。

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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Products of graphs and Nordhaus-Gaddum type inequalities for eigenvalues

In this paper, we obtain α as coefficient for the G = Kαn∪K(1−α)n and by which we discuss Nikiforov’s conjecture for λ1 and Aouchiche and Hansen’s conjecture for q1 in Nordhaus-Gaddum type inequalities. Furthermore, by the properties of the products of graphs we put forward a new approach to find some bounds of Nordhaus-Gaddum type inequalities.

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