On the relationship between variable Wiener index and variable Szeged index

作者：

Highlights：

• The variable Szeged index exceeds the variable Wiener index for exponents larger than 1.

• The critical exponent achieving equality is not always unique.

• The critical exponent is unique for bipartite graphs, block graphs and sparse graphs.

• The critical exponent is unique with high probability for random graphs of any density.

摘要

•The variable Szeged index exceeds the variable Wiener index for exponents larger than 1.•The critical exponent achieving equality is not always unique.•The critical exponent is unique for bipartite graphs, block graphs and sparse graphs.•The critical exponent is unique with high probability for random graphs of any density.

论文关键词：Variable Wiener index,Variable Szeged index,Topological indices

论文评审过程：Received 31 August 2021, Revised 6 June 2022, Accepted 8 June 2022, Available online 14 June 2022, Version of Record 14 June 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127320