Distance-unbalancedness of graphs

作者：

Highlights：

• In this manuscript we initiated the study of new structural invariant for graphs, based on a previously studied notion of being (ℓ)-distance-balanced.

• We believe that this invariant will attract attention of numerous researchers working with various graph indices, such as the Wiener index, the Szeged index, etc.

摘要

•In this manuscript we initiated the study of new structural invariant for graphs, based on a previously studied notion of being (ℓ)-distance-balanced.•We believe that this invariant will attract attention of numerous researchers working with various graph indices, such as the Wiener index, the Szeged index, etc.

论文关键词：Distance-unbalancedness,Distance-balanced graph,Mostar index

论文评审过程：Received 15 October 2020, Revised 15 March 2021, Accepted 19 March 2021, Available online 16 April 2021, Version of Record 16 April 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126233