Some Nordhaus-Gaddum type results of Aα-eigenvalues of weighted graphs

作者：

Highlights：

• We generalized some Nordhaus-Gaddum type bounds of eigenvalues to Aα-eigenvalues.

• We study weighted graphs which are generalization of graphs.

• We track the gradual change of the Nordhaus-Gaddum type results.

摘要

•We generalized some Nordhaus-Gaddum type bounds of eigenvalues to Aα-eigenvalues.•We study weighted graphs which are generalization of graphs.•We track the gradual change of the Nordhaus-Gaddum type results.

论文关键词：Weighted graph,Aα-matrix,Nordhaus-Gaddum type inequality

论文评审过程：Received 24 August 2020, Revised 22 October 2020, Accepted 25 October 2020, Available online 17 November 2020, Version of Record 17 November 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125761