Maximum first Zagreb index of orientations of unicyclic graphs with given matching number

作者：

Highlights：

• Probabilistic analysis for the first Zagreb index of oriented unicyclic graphs with given matching number.

• The maximum first Zagreb index of oriented graphs is related to the maximum first Zagreb index of graphs.

• The maximum first Zagreb index of oriented unicyclic graphs with given matching number is determined.

摘要

•Probabilistic analysis for the first Zagreb index of oriented unicyclic graphs with given matching number.•The maximum first Zagreb index of oriented graphs is related to the maximum first Zagreb index of graphs.•The maximum first Zagreb index of oriented unicyclic graphs with given matching number is determined.

论文关键词：First zagreb index,Orientations of unicyclic graphs,Matching number

论文评审过程：Received 7 December 2021, Revised 16 March 2022, Accepted 27 March 2022, Available online 17 April 2022, Version of Record 17 April 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127131