Arithmetic–geometric index and its relations with geometric–arithmetic index

作者：

Highlights：

• Bounds for arithmetic-geometric index.

• Relations between geometric-arithmetic and arithmetic-geometric indices.

• Conjectures on graphs that minimize (or maximize) arithmetic-geometric index and various combinations of geometric-arithmetic and arithmetic-geometric indices.

摘要

•Bounds for arithmetic-geometric index.•Relations between geometric-arithmetic and arithmetic-geometric indices.•Conjectures on graphs that minimize (or maximize) arithmetic-geometric index and various combinations of geometric-arithmetic and arithmetic-geometric indices.

论文关键词：Arithmetic–geometric index,Geometric–arithmetic index,Lower and upper bounds,Chemical trees

论文评审过程：Received 24 May 2020, Revised 31 August 2020, Accepted 20 September 2020, Available online 28 September 2020, Version of Record 28 September 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125706