On the geometric-arithmetic Estrada index of graphs

作者：

Highlights：

• A novel eigenvalue-based topological index, namely the geometric-arithmetic Estrada index, is proposed based on the geometric-arithmetic matrix and the Estrada index.

• Some bounds for the geometric-arithmetic Estrada index are determined, and their corresponding extremal graphs are characterized.

• Some relationships between the geometric-arithmetic Estrada index and the geometric-arithmetic energy of graphs are investigated.

摘要

•A novel eigenvalue-based topological index, namely the geometric-arithmetic Estrada index, is proposed based on the geometric-arithmetic matrix and the Estrada index.•Some bounds for the geometric-arithmetic Estrada index are determined, and their corresponding extremal graphs are characterized.•Some relationships between the geometric-arithmetic Estrada index and the geometric-arithmetic energy of graphs are investigated.

论文关键词：Estrada index,Geometric-arithmetic matrix,Geometric-arithmetic energy,Geometric-arithmetic estrada index

论文评审过程：Received 5 July 2020, Revised 7 September 2020, Accepted 22 September 2020, Available online 6 October 2020, Version of Record 6 October 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125700